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Finding the Third Proportional to 103,739 and 160,213

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Solution

The third proportional to 103,739 and 160,213 is: 247,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,739 : 160,213 = 160,213 : x
  2. Step 2: Convert to fraction form
    103,739/160,213 = 160,213/x
  3. Step 3: Cross multiply
    103,739x = 160,213 × 160,213
  4. Step 4: Simplify right side
    103,739x = 25,668,205,369
  5. Step 5: Solve for x
    x = 25,668,205,369/103,739
  6. Step 6: Final answer
    x = 247,430.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.