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Finding the Third Proportional to 125,018 and 269,587

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Solution

The third proportional to 125,018 and 269,587 is: 581,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,018 : 269,587 = 269,587 : x
  2. Step 2: Convert to fraction form
    125,018/269,587 = 269,587/x
  3. Step 3: Cross multiply
    125,018x = 269,587 × 269,587
  4. Step 4: Simplify right side
    125,018x = 72,677,150,569
  5. Step 5: Solve for x
    x = 72,677,150,569/125,018
  6. Step 6: Final answer
    x = 581,333.49

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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.