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Finding the Third Proportional to 45,630 and 97,092

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Solution

The third proportional to 45,630 and 97,092 is: 206,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 97,092 = 97,092 : x
  2. Step 2: Convert to fraction form
    45,630/97,092 = 97,092/x
  3. Step 3: Cross multiply
    45,630x = 97,092 × 97,092
  4. Step 4: Simplify right side
    45,630x = 9,426,856,464
  5. Step 5: Solve for x
    x = 9,426,856,464/45,630
  6. Step 6: Final answer
    x = 206,593.39

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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.