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Finding the Third Proportional to 46,705 and 70,542

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Solution

The third proportional to 46,705 and 70,542 is: 106,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,705 : 70,542 = 70,542 : x
  2. Step 2: Convert to fraction form
    46,705/70,542 = 70,542/x
  3. Step 3: Cross multiply
    46,705x = 70,542 × 70,542
  4. Step 4: Simplify right side
    46,705x = 4,976,173,764
  5. Step 5: Solve for x
    x = 4,976,173,764/46,705
  6. Step 6: Final answer
    x = 106,544.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.