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Finding the Third Proportional to 45,346 and 96,092

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Solution

The third proportional to 45,346 and 96,092 is: 203,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346 : 96,092 = 96,092 : x
  2. Step 2: Convert to fraction form
    45,346/96,092 = 96,092/x
  3. Step 3: Cross multiply
    45,346x = 96,092 × 96,092
  4. Step 4: Simplify right side
    45,346x = 9,233,672,464
  5. Step 5: Solve for x
    x = 9,233,672,464/45,346
  6. Step 6: Final answer
    x = 203,627.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.