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Finding the Third Proportional to 75,514 and 176,363

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Solution

The third proportional to 75,514 and 176,363 is: 411,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,514 : 176,363 = 176,363 : x
  2. Step 2: Convert to fraction form
    75,514/176,363 = 176,363/x
  3. Step 3: Cross multiply
    75,514x = 176,363 × 176,363
  4. Step 4: Simplify right side
    75,514x = 31,103,907,769
  5. Step 5: Solve for x
    x = 31,103,907,769/75,514
  6. Step 6: Final answer
    x = 411,895.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.