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Finding the Third Proportional to 71.18 and 130.50

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Solution

The third proportional to 71.18 and 130.50 is: 239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.18 : 130.50 = 130.50 : x
  2. Step 2: Convert to fraction form
    71.18/130.50 = 130.50/x
  3. Step 3: Cross multiply
    71.18x = 130.50 × 130.50
  4. Step 4: Simplify right side
    71.18x = 17,029.08
  5. Step 5: Solve for x
    x = 17,029.08/71.18
  6. Step 6: Final answer
    x = 239.24

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.