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Finding the Third Proportional to 58,327 and 90,487

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Solution

The third proportional to 58,327 and 90,487 is: 140,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,327 : 90,487 = 90,487 : x
  2. Step 2: Convert to fraction form
    58,327/90,487 = 90,487/x
  3. Step 3: Cross multiply
    58,327x = 90,487 × 90,487
  4. Step 4: Simplify right side
    58,327x = 8,187,897,169
  5. Step 5: Solve for x
    x = 8,187,897,169/58,327
  6. Step 6: Final answer
    x = 140,379.19

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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.