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Finding the Third Proportional to 46,761 and 99,630

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Solution

The third proportional to 46,761 and 99,630 is: 212,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761 : 99,630 = 99,630 : x
  2. Step 2: Convert to fraction form
    46,761/99,630 = 99,630/x
  3. Step 3: Cross multiply
    46,761x = 99,630 × 99,630
  4. Step 4: Simplify right side
    46,761x = 9,926,136,900
  5. Step 5: Solve for x
    x = 9,926,136,900/46,761
  6. Step 6: Final answer
    x = 212,273.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.