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Finding the Third Proportional to 101.46 and 147.76

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Solution

The third proportional to 101.46 and 147.76 is: 215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 147.76 = 147.76 : x
  2. Step 2: Convert to fraction form
    101.46/147.76 = 147.76/x
  3. Step 3: Cross multiply
    101.46x = 147.76 × 147.76
  4. Step 4: Simplify right side
    101.46x = 21,833.53
  5. Step 5: Solve for x
    x = 21,833.53/101.46
  6. Step 6: Final answer
    x = 215.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.