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Finding the Third Proportional to 61,701.38 and 131,187.94

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Solution

The third proportional to 61,701.38 and 131,187.94 is: 278,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701.38 : 131,187.94 = 131,187.94 : x
  2. Step 2: Convert to fraction form
    61,701.38/131,187.94 = 131,187.94/x
  3. Step 3: Cross multiply
    61,701.38x = 131,187.94 × 131,187.94
  4. Step 4: Simplify right side
    61,701.38x = 17,210,274,945.50
  5. Step 5: Solve for x
    x = 17,210,274,945.50/61,701.38
  6. Step 6: Final answer
    x = 278,928.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.