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Finding the Third Proportional to 54,873 and 84,587

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Solution

The third proportional to 54,873 and 84,587 is: 130,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873 : 84,587 = 84,587 : x
  2. Step 2: Convert to fraction form
    54,873/84,587 = 84,587/x
  3. Step 3: Cross multiply
    54,873x = 84,587 × 84,587
  4. Step 4: Simplify right side
    54,873x = 7,154,960,569
  5. Step 5: Solve for x
    x = 7,154,960,569/54,873
  6. Step 6: Final answer
    x = 130,391.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.