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Finding the Third Proportional to 59,092.50 and 87,711

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Solution

The third proportional to 59,092.50 and 87,711 is: 130,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,092.50 : 87,711 = 87,711 : x
  2. Step 2: Convert to fraction form
    59,092.50/87,711 = 87,711/x
  3. Step 3: Cross multiply
    59,092.50x = 87,711 × 87,711
  4. Step 4: Simplify right side
    59,092.50x = 7,693,219,521
  5. Step 5: Solve for x
    x = 7,693,219,521/59,092.50
  6. Step 6: Final answer
    x = 130,189.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.