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Finding the Third Proportional to 46,746 and 75,195

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Solution

The third proportional to 46,746 and 75,195 is: 120,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 75,195 = 75,195 : x
  2. Step 2: Convert to fraction form
    46,746/75,195 = 75,195/x
  3. Step 3: Cross multiply
    46,746x = 75,195 × 75,195
  4. Step 4: Simplify right side
    46,746x = 5,654,288,025
  5. Step 5: Solve for x
    x = 5,654,288,025/46,746
  6. Step 6: Final answer
    x = 120,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.