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Finding the Third Proportional to 70.13 and 106.19

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Solution

The third proportional to 70.13 and 106.19 is: 160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 106.19 = 106.19 : x
  2. Step 2: Convert to fraction form
    70.13/106.19 = 106.19/x
  3. Step 3: Cross multiply
    70.13x = 106.19 × 106.19
  4. Step 4: Simplify right side
    70.13x = 11,275.79
  5. Step 5: Solve for x
    x = 11,275.79/70.13
  6. Step 6: Final answer
    x = 160.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.