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Finding the Third Proportional to 61.06 and 96.69

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Solution

The third proportional to 61.06 and 96.69 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.06 : 96.69 = 96.69 : x
  2. Step 2: Convert to fraction form
    61.06/96.69 = 96.69/x
  3. Step 3: Cross multiply
    61.06x = 96.69 × 96.69
  4. Step 4: Simplify right side
    61.06x = 9,348.47
  5. Step 5: Solve for x
    x = 9,348.47/61.06
  6. Step 6: Final answer
    x = 153.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.