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Finding the Third Proportional to 82,673.16 and 176,167.41

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Solution

The third proportional to 82,673.16 and 176,167.41 is: 375,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,673.16 : 176,167.41 = 176,167.41 : x
  2. Step 2: Convert to fraction form
    82,673.16/176,167.41 = 176,167.41/x
  3. Step 3: Cross multiply
    82,673.16x = 176,167.41 × 176,167.41
  4. Step 4: Simplify right side
    82,673.16x = 31,034,955,024.85
  5. Step 5: Solve for x
    x = 31,034,955,024.85/82,673.16
  6. Step 6: Final answer
    x = 375,393.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.