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Finding the Third Proportional to 129,456 and 277,560

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Solution

The third proportional to 129,456 and 277,560 is: 595,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,456 : 277,560 = 277,560 : x
  2. Step 2: Convert to fraction form
    129,456/277,560 = 277,560/x
  3. Step 3: Cross multiply
    129,456x = 277,560 × 277,560
  4. Step 4: Simplify right side
    129,456x = 77,039,553,600
  5. Step 5: Solve for x
    x = 77,039,553,600/129,456
  6. Step 6: Final answer
    x = 595,102.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.