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Finding the Third Proportional to 60.02 and 92.89

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Solution

The third proportional to 60.02 and 92.89 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.02 : 92.89 = 92.89 : x
  2. Step 2: Convert to fraction form
    60.02/92.89 = 92.89/x
  3. Step 3: Cross multiply
    60.02x = 92.89 × 92.89
  4. Step 4: Simplify right side
    60.02x = 8,628.67
  5. Step 5: Solve for x
    x = 8,628.67/60.02
  6. Step 6: Final answer
    x = 143.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.