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Finding the Third Proportional to 52,926.75 and 82,306.13

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Solution

The third proportional to 52,926.75 and 82,306.13 is: 127,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,926.75 : 82,306.13 = 82,306.13 : x
  2. Step 2: Convert to fraction form
    52,926.75/82,306.13 = 82,306.13/x
  3. Step 3: Cross multiply
    52,926.75x = 82,306.13 × 82,306.13
  4. Step 4: Simplify right side
    52,926.75x = 6,774,298,212.52
  5. Step 5: Solve for x
    x = 6,774,298,212.52/52,926.75
  6. Step 6: Final answer
    x = 127,993.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.