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Finding the Third Proportional to 45,079 and 95,746

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Solution

The third proportional to 45,079 and 95,746 is: 203,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,079 : 95,746 = 95,746 : x
  2. Step 2: Convert to fraction form
    45,079/95,746 = 95,746/x
  3. Step 3: Cross multiply
    45,079x = 95,746 × 95,746
  4. Step 4: Simplify right side
    45,079x = 9,167,296,516
  5. Step 5: Solve for x
    x = 9,167,296,516/45,079
  6. Step 6: Final answer
    x = 203,360.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.