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Finding the Third Proportional to 129,654 and 174,393

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Solution

The third proportional to 129,654 and 174,393 is: 234,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 174,393 = 174,393 : x
  2. Step 2: Convert to fraction form
    129,654/174,393 = 174,393/x
  3. Step 3: Cross multiply
    129,654x = 174,393 × 174,393
  4. Step 4: Simplify right side
    129,654x = 30,412,918,449
  5. Step 5: Solve for x
    x = 30,412,918,449/129,654
  6. Step 6: Final answer
    x = 234,569.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.