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Finding the Third Proportional to 102.52 and 153.77

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Solution

The third proportional to 102.52 and 153.77 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 153.77 = 153.77 : x
  2. Step 2: Convert to fraction form
    102.52/153.77 = 153.77/x
  3. Step 3: Cross multiply
    102.52x = 153.77 × 153.77
  4. Step 4: Simplify right side
    102.52x = 23,646.27
  5. Step 5: Solve for x
    x = 23,646.27/102.52
  6. Step 6: Final answer
    x = 230.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.