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Finding the Third Proportional to 46,282 and 99,762

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Solution

The third proportional to 46,282 and 99,762 is: 215,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,282 : 99,762 = 99,762 : x
  2. Step 2: Convert to fraction form
    46,282/99,762 = 99,762/x
  3. Step 3: Cross multiply
    46,282x = 99,762 × 99,762
  4. Step 4: Simplify right side
    46,282x = 9,952,456,644
  5. Step 5: Solve for x
    x = 9,952,456,644/46,282
  6. Step 6: Final answer
    x = 215,039.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.