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Finding the Third Proportional to 56.13 and 117.88

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Solution

The third proportional to 56.13 and 117.88 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 117.88 = 117.88 : x
  2. Step 2: Convert to fraction form
    56.13/117.88 = 117.88/x
  3. Step 3: Cross multiply
    56.13x = 117.88 × 117.88
  4. Step 4: Simplify right side
    56.13x = 13,894.52
  5. Step 5: Solve for x
    x = 13,894.52/56.13
  6. Step 6: Final answer
    x = 247.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.