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Finding the Third Proportional to 124,721 and 273,587

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Solution

The third proportional to 124,721 and 273,587 is: 600,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,721 : 273,587 = 273,587 : x
  2. Step 2: Convert to fraction form
    124,721/273,587 = 273,587/x
  3. Step 3: Cross multiply
    124,721x = 273,587 × 273,587
  4. Step 4: Simplify right side
    124,721x = 74,849,846,569
  5. Step 5: Solve for x
    x = 74,849,846,569/124,721
  6. Step 6: Final answer
    x = 600,138.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.