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Finding the Third Proportional to 61,046.16 and 131,962.92

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Solution

The third proportional to 61,046.16 and 131,962.92 is: 285,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,046.16 : 131,962.92 = 131,962.92 : x
  2. Step 2: Convert to fraction form
    61,046.16/131,962.92 = 131,962.92/x
  3. Step 3: Cross multiply
    61,046.16x = 131,962.92 × 131,962.92
  4. Step 4: Simplify right side
    61,046.16x = 17,414,212,749.79
  5. Step 5: Solve for x
    x = 17,414,212,749.79/61,046.16
  6. Step 6: Final answer
    x = 285,263.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.