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Finding the Third Proportional to 59,654 and 89,478

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Solution

The third proportional to 59,654 and 89,478 is: 134,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,654 : 89,478 = 89,478 : x
  2. Step 2: Convert to fraction form
    59,654/89,478 = 89,478/x
  3. Step 3: Cross multiply
    59,654x = 89,478 × 89,478
  4. Step 4: Simplify right side
    59,654x = 8,006,312,484
  5. Step 5: Solve for x
    x = 8,006,312,484/59,654
  6. Step 6: Final answer
    x = 134,212.50

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Why These Related Problems?

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