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Finding the Third Proportional to 83,764 and 176,840

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Solution

The third proportional to 83,764 and 176,840 is: 373,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764 : 176,840 = 176,840 : x
  2. Step 2: Convert to fraction form
    83,764/176,840 = 176,840/x
  3. Step 3: Cross multiply
    83,764x = 176,840 × 176,840
  4. Step 4: Simplify right side
    83,764x = 31,272,385,600
  5. Step 5: Solve for x
    x = 31,272,385,600/83,764
  6. Step 6: Final answer
    x = 373,339.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.