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Finding the Third Proportional to 129,071 and 277,919

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Solution

The third proportional to 129,071 and 277,919 is: 598,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,071 : 277,919 = 277,919 : x
  2. Step 2: Convert to fraction form
    129,071/277,919 = 277,919/x
  3. Step 3: Cross multiply
    129,071x = 277,919 × 277,919
  4. Step 4: Simplify right side
    129,071x = 77,238,970,561
  5. Step 5: Solve for x
    x = 77,238,970,561/129,071
  6. Step 6: Final answer
    x = 598,422.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.