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Finding the Third Proportional to 59,540 and 89,246

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Solution

The third proportional to 59,540 and 89,246 is: 133,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540 : 89,246 = 89,246 : x
  2. Step 2: Convert to fraction form
    59,540/89,246 = 89,246/x
  3. Step 3: Cross multiply
    59,540x = 89,246 × 89,246
  4. Step 4: Simplify right side
    59,540x = 7,964,848,516
  5. Step 5: Solve for x
    x = 7,964,848,516/59,540
  6. Step 6: Final answer
    x = 133,773.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.