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Finding the Third Proportional to 45.13 and 95.88

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Solution

The third proportional to 45.13 and 95.88 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.13 : 95.88 = 95.88 : x
  2. Step 2: Convert to fraction form
    45.13/95.88 = 95.88/x
  3. Step 3: Cross multiply
    45.13x = 95.88 × 95.88
  4. Step 4: Simplify right side
    45.13x = 9,192.02
  5. Step 5: Solve for x
    x = 9,192.02/45.13
  6. Step 6: Final answer
    x = 203.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.