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Finding the Third Proportional to 61,701.75 and 132,151.50

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Solution

The third proportional to 61,701.75 and 132,151.50 is: 283,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701.75 : 132,151.50 = 132,151.50 : x
  2. Step 2: Convert to fraction form
    61,701.75/132,151.50 = 132,151.50/x
  3. Step 3: Cross multiply
    61,701.75x = 132,151.50 × 132,151.50
  4. Step 4: Simplify right side
    61,701.75x = 17,464,018,952.25
  5. Step 5: Solve for x
    x = 17,464,018,952.25/61,701.75
  6. Step 6: Final answer
    x = 283,039.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.