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Finding the Third Proportional to 46,340 and 74,612

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Solution

The third proportional to 46,340 and 74,612 is: 120,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,340 : 74,612 = 74,612 : x
  2. Step 2: Convert to fraction form
    46,340/74,612 = 74,612/x
  3. Step 3: Cross multiply
    46,340x = 74,612 × 74,612
  4. Step 4: Simplify right side
    46,340x = 5,566,950,544
  5. Step 5: Solve for x
    x = 5,566,950,544/46,340
  6. Step 6: Final answer
    x = 120,132.73

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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.