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Finding the Third Proportional to 58,746 and 125,801

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Solution

The third proportional to 58,746 and 125,801 is: 269,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746 : 125,801 = 125,801 : x
  2. Step 2: Convert to fraction form
    58,746/125,801 = 125,801/x
  3. Step 3: Cross multiply
    58,746x = 125,801 × 125,801
  4. Step 4: Simplify right side
    58,746x = 15,825,891,601
  5. Step 5: Solve for x
    x = 15,825,891,601/58,746
  6. Step 6: Final answer
    x = 269,395.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.