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Finding the Third Proportional to 71 and 90

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Solution

The third proportional to 71 and 90 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71 : 90 = 90 : x
  2. Step 2: Convert to fraction form
    71/90 = 90/x
  3. Step 3: Cross multiply
    71x = 90 × 90
  4. Step 4: Simplify right side
    71x = 8,100
  5. Step 5: Solve for x
    x = 8,100/71
  6. Step 6: Final answer
    x = 114.08

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.