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Finding the Third Proportional to 82,248 and 126,855

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Solution

The third proportional to 82,248 and 126,855 is: 195,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248 : 126,855 = 126,855 : x
  2. Step 2: Convert to fraction form
    82,248/126,855 = 126,855/x
  3. Step 3: Cross multiply
    82,248x = 126,855 × 126,855
  4. Step 4: Simplify right side
    82,248x = 16,092,191,025
  5. Step 5: Solve for x
    x = 16,092,191,025/82,248
  6. Step 6: Final answer
    x = 195,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.