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Finding the Third Proportional to 87,996 and 144,459

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Solution

The third proportional to 87,996 and 144,459 is: 237,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 144,459 = 144,459 : x
  2. Step 2: Convert to fraction form
    87,996/144,459 = 144,459/x
  3. Step 3: Cross multiply
    87,996x = 144,459 × 144,459
  4. Step 4: Simplify right side
    87,996x = 20,868,402,681
  5. Step 5: Solve for x
    x = 20,868,402,681/87,996
  6. Step 6: Final answer
    x = 237,151.72

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.