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Finding the Third Proportional to 99,586 and 149,487

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Solution

The third proportional to 99,586 and 149,487 is: 224,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,586 : 149,487 = 149,487 : x
  2. Step 2: Convert to fraction form
    99,586/149,487 = 149,487/x
  3. Step 3: Cross multiply
    99,586x = 149,487 × 149,487
  4. Step 4: Simplify right side
    99,586x = 22,346,363,169
  5. Step 5: Solve for x
    x = 22,346,363,169/99,586
  6. Step 6: Final answer
    x = 224,392.62

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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.