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Finding the Third Proportional to 82,653.75 and 127,747.13

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Solution

The third proportional to 82,653.75 and 127,747.13 is: 197,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653.75 : 127,747.13 = 127,747.13 : x
  2. Step 2: Convert to fraction form
    82,653.75/127,747.13 = 127,747.13/x
  3. Step 3: Cross multiply
    82,653.75x = 127,747.13 × 127,747.13
  4. Step 4: Simplify right side
    82,653.75x = 16,319,327,945.77
  5. Step 5: Solve for x
    x = 16,319,327,945.77/82,653.75
  6. Step 6: Final answer
    x = 197,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.