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Finding the Third Proportional to 113,647.50 and 170,471.25

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Solution

The third proportional to 113,647.50 and 170,471.25 is: 255,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,647.50 : 170,471.25 = 170,471.25 : x
  2. Step 2: Convert to fraction form
    113,647.50/170,471.25 = 170,471.25/x
  3. Step 3: Cross multiply
    113,647.50x = 170,471.25 × 170,471.25
  4. Step 4: Simplify right side
    113,647.50x = 29,060,447,076.56
  5. Step 5: Solve for x
    x = 29,060,447,076.56/113,647.50
  6. Step 6: Final answer
    x = 255,706.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.