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Finding the Third Proportional to 61,023.38 and 125,965.13

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Solution

The third proportional to 61,023.38 and 125,965.13 is: 260,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,023.38 : 125,965.13 = 125,965.13 : x
  2. Step 2: Convert to fraction form
    61,023.38/125,965.13 = 125,965.13/x
  3. Step 3: Cross multiply
    61,023.38x = 125,965.13 × 125,965.13
  4. Step 4: Simplify right side
    61,023.38x = 15,867,212,716.27
  5. Step 5: Solve for x
    x = 15,867,212,716.27/61,023.38
  6. Step 6: Final answer
    x = 260,018.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.