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Finding the Third Proportional to 124,166 and 171,390

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Solution

The third proportional to 124,166 and 171,390 is: 236,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,166 : 171,390 = 171,390 : x
  2. Step 2: Convert to fraction form
    124,166/171,390 = 171,390/x
  3. Step 3: Cross multiply
    124,166x = 171,390 × 171,390
  4. Step 4: Simplify right side
    124,166x = 29,374,532,100
  5. Step 5: Solve for x
    x = 29,374,532,100/124,166
  6. Step 6: Final answer
    x = 236,574.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.