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Finding the Third Proportional to 102.52 and 157.57

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Solution

The third proportional to 102.52 and 157.57 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 157.57 = 157.57 : x
  2. Step 2: Convert to fraction form
    102.52/157.57 = 157.57/x
  3. Step 3: Cross multiply
    102.52x = 157.57 × 157.57
  4. Step 4: Simplify right side
    102.52x = 24,828.40
  5. Step 5: Solve for x
    x = 24,828.40/102.52
  6. Step 6: Final answer
    x = 242.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.