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Finding the Third Proportional to 78 and 141.50

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Solution

The third proportional to 78 and 141.50 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 141.50 = 141.50 : x
  2. Step 2: Convert to fraction form
    78/141.50 = 141.50/x
  3. Step 3: Cross multiply
    78x = 141.50 × 141.50
  4. Step 4: Simplify right side
    78x = 20,022.25
  5. Step 5: Solve for x
    x = 20,022.25/78
  6. Step 6: Final answer
    x = 256.70

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.