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Finding the Third Proportional to 46,070 and 96,782

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Solution

The third proportional to 46,070 and 96,782 is: 203,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,070 : 96,782 = 96,782 : x
  2. Step 2: Convert to fraction form
    46,070/96,782 = 96,782/x
  3. Step 3: Cross multiply
    46,070x = 96,782 × 96,782
  4. Step 4: Simplify right side
    46,070x = 9,366,755,524
  5. Step 5: Solve for x
    x = 9,366,755,524/46,070
  6. Step 6: Final answer
    x = 203,315.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.