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Finding the Third Proportional to 84,871.50 and 176,718

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Solution

The third proportional to 84,871.50 and 176,718 is: 367,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,871.50 : 176,718 = 176,718 : x
  2. Step 2: Convert to fraction form
    84,871.50/176,718 = 176,718/x
  3. Step 3: Cross multiply
    84,871.50x = 176,718 × 176,718
  4. Step 4: Simplify right side
    84,871.50x = 31,229,251,524
  5. Step 5: Solve for x
    x = 31,229,251,524/84,871.50
  6. Step 6: Final answer
    x = 367,959.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.