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Finding the Third Proportional to 99.50 and 130.75

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Solution

The third proportional to 99.50 and 130.75 is: 171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 130.75 = 130.75 : x
  2. Step 2: Convert to fraction form
    99.50/130.75 = 130.75/x
  3. Step 3: Cross multiply
    99.50x = 130.75 × 130.75
  4. Step 4: Simplify right side
    99.50x = 17,095.56
  5. Step 5: Solve for x
    x = 17,095.56/99.50
  6. Step 6: Final answer
    x = 171.81

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.