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Finding the Third Proportional to 60.64 and 143.12

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Solution

The third proportional to 60.64 and 143.12 is: 337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.64 : 143.12 = 143.12 : x
  2. Step 2: Convert to fraction form
    60.64/143.12 = 143.12/x
  3. Step 3: Cross multiply
    60.64x = 143.12 × 143.12
  4. Step 4: Simplify right side
    60.64x = 20,483.65
  5. Step 5: Solve for x
    x = 20,483.65/60.64
  6. Step 6: Final answer
    x = 337.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.