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Finding the Third Proportional to 100.75 and 147.50

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Solution

The third proportional to 100.75 and 147.50 is: 215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 147.50 = 147.50 : x
  2. Step 2: Convert to fraction form
    100.75/147.50 = 147.50/x
  3. Step 3: Cross multiply
    100.75x = 147.50 × 147.50
  4. Step 4: Simplify right side
    100.75x = 21,756.25
  5. Step 5: Solve for x
    x = 21,756.25/100.75
  6. Step 6: Final answer
    x = 215.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.