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Finding the Third Proportional to 129,060 and 193,644

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Solution

The third proportional to 129,060 and 193,644 is: 290,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,060 : 193,644 = 193,644 : x
  2. Step 2: Convert to fraction form
    129,060/193,644 = 193,644/x
  3. Step 3: Cross multiply
    129,060x = 193,644 × 193,644
  4. Step 4: Simplify right side
    129,060x = 37,497,998,736
  5. Step 5: Solve for x
    x = 37,497,998,736/129,060
  6. Step 6: Final answer
    x = 290,547.02

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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.