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Finding the Third Proportional to 99.56 and 145.97

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Solution

The third proportional to 99.56 and 145.97 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.56 : 145.97 = 145.97 : x
  2. Step 2: Convert to fraction form
    99.56/145.97 = 145.97/x
  3. Step 3: Cross multiply
    99.56x = 145.97 × 145.97
  4. Step 4: Simplify right side
    99.56x = 21,306.88
  5. Step 5: Solve for x
    x = 21,306.88/99.56
  6. Step 6: Final answer
    x = 214.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.