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Finding the Third Proportional to 107,202 and 161,895

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Solution

The third proportional to 107,202 and 161,895 is: 244,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202 : 161,895 = 161,895 : x
  2. Step 2: Convert to fraction form
    107,202/161,895 = 161,895/x
  3. Step 3: Cross multiply
    107,202x = 161,895 × 161,895
  4. Step 4: Simplify right side
    107,202x = 26,209,991,025
  5. Step 5: Solve for x
    x = 26,209,991,025/107,202
  6. Step 6: Final answer
    x = 244,491.62

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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.