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Finding the Third Proportional to 62.49 and 93.04

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Solution

The third proportional to 62.49 and 93.04 is: 138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.49 : 93.04 = 93.04 : x
  2. Step 2: Convert to fraction form
    62.49/93.04 = 93.04/x
  3. Step 3: Cross multiply
    62.49x = 93.04 × 93.04
  4. Step 4: Simplify right side
    62.49x = 8,656.41
  5. Step 5: Solve for x
    x = 8,656.41/62.49
  6. Step 6: Final answer
    x = 138.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.