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Finding the Third Proportional to 129,459 and 277,566

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Solution

The third proportional to 129,459 and 277,566 is: 595,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,459 : 277,566 = 277,566 : x
  2. Step 2: Convert to fraction form
    129,459/277,566 = 277,566/x
  3. Step 3: Cross multiply
    129,459x = 277,566 × 277,566
  4. Step 4: Simplify right side
    129,459x = 77,042,884,356
  5. Step 5: Solve for x
    x = 77,042,884,356/129,459
  6. Step 6: Final answer
    x = 595,114.16

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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.