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Finding the Third Proportional to 124,769 and 182,707

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Solution

The third proportional to 124,769 and 182,707 is: 267,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769 : 182,707 = 182,707 : x
  2. Step 2: Convert to fraction form
    124,769/182,707 = 182,707/x
  3. Step 3: Cross multiply
    124,769x = 182,707 × 182,707
  4. Step 4: Simplify right side
    124,769x = 33,381,847,849
  5. Step 5: Solve for x
    x = 33,381,847,849/124,769
  6. Step 6: Final answer
    x = 267,549.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.