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Finding the Third Proportional to 59,732.50 and 90,061

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Solution

The third proportional to 59,732.50 and 90,061 is: 135,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,732.50 : 90,061 = 90,061 : x
  2. Step 2: Convert to fraction form
    59,732.50/90,061 = 90,061/x
  3. Step 3: Cross multiply
    59,732.50x = 90,061 × 90,061
  4. Step 4: Simplify right side
    59,732.50x = 8,110,983,721
  5. Step 5: Solve for x
    x = 8,110,983,721/59,732.50
  6. Step 6: Final answer
    x = 135,788.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.