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Finding the Third Proportional to 65,140.31 and 103,231.13

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Solution

The third proportional to 65,140.31 and 103,231.13 is: 163,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.31 : 103,231.13 = 103,231.13 : x
  2. Step 2: Convert to fraction form
    65,140.31/103,231.13 = 103,231.13/x
  3. Step 3: Cross multiply
    65,140.31x = 103,231.13 × 103,231.13
  4. Step 4: Simplify right side
    65,140.31x = 10,656,665,168.77
  5. Step 5: Solve for x
    x = 10,656,665,168.77/65,140.31
  6. Step 6: Final answer
    x = 163,595.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.