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Finding the Third Proportional to 89,309 and 121,624

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Solution

The third proportional to 89,309 and 121,624 is: 165,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,309 : 121,624 = 121,624 : x
  2. Step 2: Convert to fraction form
    89,309/121,624 = 121,624/x
  3. Step 3: Cross multiply
    89,309x = 121,624 × 121,624
  4. Step 4: Simplify right side
    89,309x = 14,792,397,376
  5. Step 5: Solve for x
    x = 14,792,397,376/89,309
  6. Step 6: Final answer
    x = 165,631.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.