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Finding the Third Proportional to 82,137.75 and 176,545.88

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Solution

The third proportional to 82,137.75 and 176,545.88 is: 379,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.75 : 176,545.88 = 176,545.88 : x
  2. Step 2: Convert to fraction form
    82,137.75/176,545.88 = 176,545.88/x
  3. Step 3: Cross multiply
    82,137.75x = 176,545.88 × 176,545.88
  4. Step 4: Simplify right side
    82,137.75x = 31,168,445,979.52
  5. Step 5: Solve for x
    x = 31,168,445,979.52/82,137.75
  6. Step 6: Final answer
    x = 379,465.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.