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Finding the Third Proportional to 113,478.75 and 170,708.06

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Solution

The third proportional to 113,478.75 and 170,708.06 is: 256,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,478.75 : 170,708.06 = 170,708.06 : x
  2. Step 2: Convert to fraction form
    113,478.75/170,708.06 = 170,708.06/x
  3. Step 3: Cross multiply
    113,478.75x = 170,708.06 × 170,708.06
  4. Step 4: Simplify right side
    113,478.75x = 29,141,242,602.50
  5. Step 5: Solve for x
    x = 29,141,242,602.50/113,478.75
  6. Step 6: Final answer
    x = 256,799.12

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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.