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Finding the Third Proportional to 56,614 and 72,609

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Solution

The third proportional to 56,614 and 72,609 is: 93,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,614 : 72,609 = 72,609 : x
  2. Step 2: Convert to fraction form
    56,614/72,609 = 72,609/x
  3. Step 3: Cross multiply
    56,614x = 72,609 × 72,609
  4. Step 4: Simplify right side
    56,614x = 5,272,066,881
  5. Step 5: Solve for x
    x = 5,272,066,881/56,614
  6. Step 6: Final answer
    x = 93,123.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.