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Finding the Third Proportional to 71,634 and 107,545.50

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Solution

The third proportional to 71,634 and 107,545.50 is: 161,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634 : 107,545.50 = 107,545.50 : x
  2. Step 2: Convert to fraction form
    71,634/107,545.50 = 107,545.50/x
  3. Step 3: Cross multiply
    71,634x = 107,545.50 × 107,545.50
  4. Step 4: Simplify right side
    71,634x = 11,566,034,570.25
  5. Step 5: Solve for x
    x = 11,566,034,570.25/71,634
  6. Step 6: Final answer
    x = 161,460.12

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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.