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Finding the Third Proportional to 41,514 and 89,076

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Solution

The third proportional to 41,514 and 89,076 is: 191,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,514 : 89,076 = 89,076 : x
  2. Step 2: Convert to fraction form
    41,514/89,076 = 89,076/x
  3. Step 3: Cross multiply
    41,514x = 89,076 × 89,076
  4. Step 4: Simplify right side
    41,514x = 7,934,533,776
  5. Step 5: Solve for x
    x = 7,934,533,776/41,514
  6. Step 6: Final answer
    x = 191,129.11

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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.