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Finding the Third Proportional to 124,580 and 167,862

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Solution

The third proportional to 124,580 and 167,862 is: 226,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,580 : 167,862 = 167,862 : x
  2. Step 2: Convert to fraction form
    124,580/167,862 = 167,862/x
  3. Step 3: Cross multiply
    124,580x = 167,862 × 167,862
  4. Step 4: Simplify right side
    124,580x = 28,177,651,044
  5. Step 5: Solve for x
    x = 28,177,651,044/124,580
  6. Step 6: Final answer
    x = 226,181.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.