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Finding the Third Proportional to 61,115 and 132,404.75

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Solution

The third proportional to 61,115 and 132,404.75 is: 286,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,115 : 132,404.75 = 132,404.75 : x
  2. Step 2: Convert to fraction form
    61,115/132,404.75 = 132,404.75/x
  3. Step 3: Cross multiply
    61,115x = 132,404.75 × 132,404.75
  4. Step 4: Simplify right side
    61,115x = 17,531,017,822.56
  5. Step 5: Solve for x
    x = 17,531,017,822.56/61,115
  6. Step 6: Final answer
    x = 286,852.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.