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Finding the Third Proportional to 96,522 and 147,654

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Solution

The third proportional to 96,522 and 147,654 is: 225,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,522 : 147,654 = 147,654 : x
  2. Step 2: Convert to fraction form
    96,522/147,654 = 147,654/x
  3. Step 3: Cross multiply
    96,522x = 147,654 × 147,654
  4. Step 4: Simplify right side
    96,522x = 21,801,703,716
  5. Step 5: Solve for x
    x = 21,801,703,716/96,522
  6. Step 6: Final answer
    x = 225,872.90

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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.