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Finding the Third Proportional to 82,876.88 and 127,461.56

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Solution

The third proportional to 82,876.88 and 127,461.56 is: 196,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.88 : 127,461.56 = 127,461.56 : x
  2. Step 2: Convert to fraction form
    82,876.88/127,461.56 = 127,461.56/x
  3. Step 3: Cross multiply
    82,876.88x = 127,461.56 × 127,461.56
  4. Step 4: Simplify right side
    82,876.88x = 16,246,449,914.94
  5. Step 5: Solve for x
    x = 16,246,449,914.94/82,876.88
  6. Step 6: Final answer
    x = 196,031.16

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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.