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Finding the Third Proportional to 70.17 and 100.20

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Solution

The third proportional to 70.17 and 100.20 is: 143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.17 : 100.20 = 100.20 : x
  2. Step 2: Convert to fraction form
    70.17/100.20 = 100.20/x
  3. Step 3: Cross multiply
    70.17x = 100.20 × 100.20
  4. Step 4: Simplify right side
    70.17x = 10,039.10
  5. Step 5: Solve for x
    x = 10,039.10/70.17
  6. Step 6: Final answer
    x = 143.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.