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Finding the Third Proportional to 107,154 and 161,703

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Solution

The third proportional to 107,154 and 161,703 is: 244,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,154 : 161,703 = 161,703 : x
  2. Step 2: Convert to fraction form
    107,154/161,703 = 161,703/x
  3. Step 3: Cross multiply
    107,154x = 161,703 × 161,703
  4. Step 4: Simplify right side
    107,154x = 26,147,860,209
  5. Step 5: Solve for x
    x = 26,147,860,209/107,154
  6. Step 6: Final answer
    x = 244,021.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.