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Finding the Third Proportional to 125,021 and 277,069

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Solution

The third proportional to 125,021 and 277,069 is: 614,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,021 : 277,069 = 277,069 : x
  2. Step 2: Convert to fraction form
    125,021/277,069 = 277,069/x
  3. Step 3: Cross multiply
    125,021x = 277,069 × 277,069
  4. Step 4: Simplify right side
    125,021x = 76,767,230,761
  5. Step 5: Solve for x
    x = 76,767,230,761/125,021
  6. Step 6: Final answer
    x = 614,034.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.