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Finding the Third Proportional to 61.86 and 87.01

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Solution

The third proportional to 61.86 and 87.01 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.86 : 87.01 = 87.01 : x
  2. Step 2: Convert to fraction form
    61.86/87.01 = 87.01/x
  3. Step 3: Cross multiply
    61.86x = 87.01 × 87.01
  4. Step 4: Simplify right side
    61.86x = 7,571.04
  5. Step 5: Solve for x
    x = 7,571.04/61.86
  6. Step 6: Final answer
    x = 122.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.