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Finding the Third Proportional to 56.88 and 122.50

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Solution

The third proportional to 56.88 and 122.50 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.88 : 122.50 = 122.50 : x
  2. Step 2: Convert to fraction form
    56.88/122.50 = 122.50/x
  3. Step 3: Cross multiply
    56.88x = 122.50 × 122.50
  4. Step 4: Simplify right side
    56.88x = 15,006.25
  5. Step 5: Solve for x
    x = 15,006.25/56.88
  6. Step 6: Final answer
    x = 263.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.