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Finding the Third Proportional to 124,810 and 269,301

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Solution

The third proportional to 124,810 and 269,301 is: 581,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,810 : 269,301 = 269,301 : x
  2. Step 2: Convert to fraction form
    124,810/269,301 = 269,301/x
  3. Step 3: Cross multiply
    124,810x = 269,301 × 269,301
  4. Step 4: Simplify right side
    124,810x = 72,523,028,601
  5. Step 5: Solve for x
    x = 72,523,028,601/124,810
  6. Step 6: Final answer
    x = 581,067.45

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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.