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Finding the Third Proportional to 59,564 and 92,613

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Solution

The third proportional to 59,564 and 92,613 is: 143,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,564 : 92,613 = 92,613 : x
  2. Step 2: Convert to fraction form
    59,564/92,613 = 92,613/x
  3. Step 3: Cross multiply
    59,564x = 92,613 × 92,613
  4. Step 4: Simplify right side
    59,564x = 8,577,167,769
  5. Step 5: Solve for x
    x = 8,577,167,769/59,564
  6. Step 6: Final answer
    x = 143,999.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.