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Finding the Third Proportional to 71,312.91 and 107,254.13

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Solution

The third proportional to 71,312.91 and 107,254.13 is: 161,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.91 : 107,254.13 = 107,254.13 : x
  2. Step 2: Convert to fraction form
    71,312.91/107,254.13 = 107,254.13/x
  3. Step 3: Cross multiply
    71,312.91x = 107,254.13 × 107,254.13
  4. Step 4: Simplify right side
    71,312.91x = 11,503,447,329.52
  5. Step 5: Solve for x
    x = 11,503,447,329.52/71,312.91
  6. Step 6: Final answer
    x = 161,309.47

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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.