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Finding the Third Proportional to 107,900 and 161,851

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Solution

The third proportional to 107,900 and 161,851 is: 242,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,900 : 161,851 = 161,851 : x
  2. Step 2: Convert to fraction form
    107,900/161,851 = 161,851/x
  3. Step 3: Cross multiply
    107,900x = 161,851 × 161,851
  4. Step 4: Simplify right side
    107,900x = 26,195,746,201
  5. Step 5: Solve for x
    x = 26,195,746,201/107,900
  6. Step 6: Final answer
    x = 242,778.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.