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Finding the Third Proportional to 99,569 and 149,363

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Solution

The third proportional to 99,569 and 149,363 is: 224,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,569 : 149,363 = 149,363 : x
  2. Step 2: Convert to fraction form
    99,569/149,363 = 149,363/x
  3. Step 3: Cross multiply
    99,569x = 149,363 × 149,363
  4. Step 4: Simplify right side
    99,569x = 22,309,305,769
  5. Step 5: Solve for x
    x = 22,309,305,769/99,569
  6. Step 6: Final answer
    x = 224,058.75

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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.