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Finding the Third Proportional to 124,973 and 269,629

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Solution

The third proportional to 124,973 and 269,629 is: 581,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,973 : 269,629 = 269,629 : x
  2. Step 2: Convert to fraction form
    124,973/269,629 = 269,629/x
  3. Step 3: Cross multiply
    124,973x = 269,629 × 269,629
  4. Step 4: Simplify right side
    124,973x = 72,699,797,641
  5. Step 5: Solve for x
    x = 72,699,797,641/124,973
  6. Step 6: Final answer
    x = 581,724.03

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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.