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Finding the Third Proportional to 129,098 and 277,972

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Solution

The third proportional to 129,098 and 277,972 is: 598,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098 : 277,972 = 277,972 : x
  2. Step 2: Convert to fraction form
    129,098/277,972 = 277,972/x
  3. Step 3: Cross multiply
    129,098x = 277,972 × 277,972
  4. Step 4: Simplify right side
    129,098x = 77,268,432,784
  5. Step 5: Solve for x
    x = 77,268,432,784/129,098
  6. Step 6: Final answer
    x = 598,525.41

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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.