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Finding the Third Proportional to 60.68 and 137.04

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Solution

The third proportional to 60.68 and 137.04 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 137.04 = 137.04 : x
  2. Step 2: Convert to fraction form
    60.68/137.04 = 137.04/x
  3. Step 3: Cross multiply
    60.68x = 137.04 × 137.04
  4. Step 4: Simplify right side
    60.68x = 18,779.70
  5. Step 5: Solve for x
    x = 18,779.70/60.68
  6. Step 6: Final answer
    x = 309.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.