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Finding the Third Proportional to 83.13 and 88.06

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Solution

The third proportional to 83.13 and 88.06 is: 93.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 88.06 = 88.06 : x
  2. Step 2: Convert to fraction form
    83.13/88.06 = 88.06/x
  3. Step 3: Cross multiply
    83.13x = 88.06 × 88.06
  4. Step 4: Simplify right side
    83.13x = 7,755.00
  5. Step 5: Solve for x
    x = 7,755.00/83.13
  6. Step 6: Final answer
    x = 93.29

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.