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Finding the Third Proportional to 58,381 and 90,581

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Solution

The third proportional to 58,381 and 90,581 is: 140,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,381 : 90,581 = 90,581 : x
  2. Step 2: Convert to fraction form
    58,381/90,581 = 90,581/x
  3. Step 3: Cross multiply
    58,381x = 90,581 × 90,581
  4. Step 4: Simplify right side
    58,381x = 8,204,917,561
  5. Step 5: Solve for x
    x = 8,204,917,561/58,381
  6. Step 6: Final answer
    x = 140,540.89

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