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Finding the Third Proportional to 65,102.25 and 132,015

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Solution

The third proportional to 65,102.25 and 132,015 is: 267,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.25 : 132,015 = 132,015 : x
  2. Step 2: Convert to fraction form
    65,102.25/132,015 = 132,015/x
  3. Step 3: Cross multiply
    65,102.25x = 132,015 × 132,015
  4. Step 4: Simplify right side
    65,102.25x = 17,427,960,225
  5. Step 5: Solve for x
    x = 17,427,960,225/65,102.25
  6. Step 6: Final answer
    x = 267,701.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.