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Finding the Third Proportional to 95.06 and 112.50

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Solution

The third proportional to 95.06 and 112.50 is: 133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 112.50 = 112.50 : x
  2. Step 2: Convert to fraction form
    95.06/112.50 = 112.50/x
  3. Step 3: Cross multiply
    95.06x = 112.50 × 112.50
  4. Step 4: Simplify right side
    95.06x = 12,656.25
  5. Step 5: Solve for x
    x = 12,656.25/95.06
  6. Step 6: Final answer
    x = 133.14

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.