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Finding the Third Proportional to 71,207 and 95,854

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Solution

The third proportional to 71,207 and 95,854 is: 129,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207 : 95,854 = 95,854 : x
  2. Step 2: Convert to fraction form
    71,207/95,854 = 95,854/x
  3. Step 3: Cross multiply
    71,207x = 95,854 × 95,854
  4. Step 4: Simplify right side
    71,207x = 9,187,989,316
  5. Step 5: Solve for x
    x = 9,187,989,316/71,207
  6. Step 6: Final answer
    x = 129,032.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.