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Finding the Third Proportional to 59,217 and 89,532

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Solution

The third proportional to 59,217 and 89,532 is: 135,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,217 : 89,532 = 89,532 : x
  2. Step 2: Convert to fraction form
    59,217/89,532 = 89,532/x
  3. Step 3: Cross multiply
    59,217x = 89,532 × 89,532
  4. Step 4: Simplify right side
    59,217x = 8,015,979,024
  5. Step 5: Solve for x
    x = 8,015,979,024/59,217
  6. Step 6: Final answer
    x = 135,366.18

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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.