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Finding the Third Proportional to 113,160.50 and 170,024.50

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Solution

The third proportional to 113,160.50 and 170,024.50 is: 255,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,160.50 : 170,024.50 = 170,024.50 : x
  2. Step 2: Convert to fraction form
    113,160.50/170,024.50 = 170,024.50/x
  3. Step 3: Cross multiply
    113,160.50x = 170,024.50 × 170,024.50
  4. Step 4: Simplify right side
    113,160.50x = 28,908,330,600.25
  5. Step 5: Solve for x
    x = 28,908,330,600.25/113,160.50
  6. Step 6: Final answer
    x = 255,463.09

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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.