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Finding the Third Proportional to 61,166 and 124,924

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Solution

The third proportional to 61,166 and 124,924 is: 255,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166 : 124,924 = 124,924 : x
  2. Step 2: Convert to fraction form
    61,166/124,924 = 124,924/x
  3. Step 3: Cross multiply
    61,166x = 124,924 × 124,924
  4. Step 4: Simplify right side
    61,166x = 15,606,005,776
  5. Step 5: Solve for x
    x = 15,606,005,776/61,166
  6. Step 6: Final answer
    x = 255,141.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.