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Finding the Third Proportional to 82.83 and 130.97

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Solution

The third proportional to 82.83 and 130.97 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 130.97 = 130.97 : x
  2. Step 2: Convert to fraction form
    82.83/130.97 = 130.97/x
  3. Step 3: Cross multiply
    82.83x = 130.97 × 130.97
  4. Step 4: Simplify right side
    82.83x = 17,152.81
  5. Step 5: Solve for x
    x = 17,152.81/82.83
  6. Step 6: Final answer
    x = 207.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.