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Finding the Third Proportional to 83,064 and 176,514

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Solution

The third proportional to 83,064 and 176,514 is: 375,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064 : 176,514 = 176,514 : x
  2. Step 2: Convert to fraction form
    83,064/176,514 = 176,514/x
  3. Step 3: Cross multiply
    83,064x = 176,514 × 176,514
  4. Step 4: Simplify right side
    83,064x = 31,157,192,196
  5. Step 5: Solve for x
    x = 31,157,192,196/83,064
  6. Step 6: Final answer
    x = 375,098.63

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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.