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Finding the Third Proportional to 107,165 and 229,092

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Solution

The third proportional to 107,165 and 229,092 is: 489,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,165 : 229,092 = 229,092 : x
  2. Step 2: Convert to fraction form
    107,165/229,092 = 229,092/x
  3. Step 3: Cross multiply
    107,165x = 229,092 × 229,092
  4. Step 4: Simplify right side
    107,165x = 52,483,144,464
  5. Step 5: Solve for x
    x = 52,483,144,464/107,165
  6. Step 6: Final answer
    x = 489,741.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.