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Finding the Third Proportional to 96,449 and 147,453

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Solution

The third proportional to 96,449 and 147,453 is: 225,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,449 : 147,453 = 147,453 : x
  2. Step 2: Convert to fraction form
    96,449/147,453 = 147,453/x
  3. Step 3: Cross multiply
    96,449x = 147,453 × 147,453
  4. Step 4: Simplify right side
    96,449x = 21,742,387,209
  5. Step 5: Solve for x
    x = 21,742,387,209/96,449
  6. Step 6: Final answer
    x = 225,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.