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Finding the Third Proportional to 82,077.05 and 176,818.57

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Solution

The third proportional to 82,077.05 and 176,818.57 is: 380,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077.05 : 176,818.57 = 176,818.57 : x
  2. Step 2: Convert to fraction form
    82,077.05/176,818.57 = 176,818.57/x
  3. Step 3: Cross multiply
    82,077.05x = 176,818.57 × 176,818.57
  4. Step 4: Simplify right side
    82,077.05x = 31,264,806,807.36
  5. Step 5: Solve for x
    x = 31,264,806,807.36/82,077.05
  6. Step 6: Final answer
    x = 380,920.22

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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.