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Finding the Third Proportional to 125,026 and 269,780

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Solution

The third proportional to 125,026 and 269,780 is: 582,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,026 : 269,780 = 269,780 : x
  2. Step 2: Convert to fraction form
    125,026/269,780 = 269,780/x
  3. Step 3: Cross multiply
    125,026x = 269,780 × 269,780
  4. Step 4: Simplify right side
    125,026x = 72,781,248,400
  5. Step 5: Solve for x
    x = 72,781,248,400/125,026
  6. Step 6: Final answer
    x = 582,128.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.