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Finding the Third Proportional to 46,092 and 95,748

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Solution

The third proportional to 46,092 and 95,748 is: 198,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092 : 95,748 = 95,748 : x
  2. Step 2: Convert to fraction form
    46,092/95,748 = 95,748/x
  3. Step 3: Cross multiply
    46,092x = 95,748 × 95,748
  4. Step 4: Simplify right side
    46,092x = 9,167,679,504
  5. Step 5: Solve for x
    x = 9,167,679,504/46,092
  6. Step 6: Final answer
    x = 198,899.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.