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Finding the Third Proportional to 75,640 and 161,216

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Solution

The third proportional to 75,640 and 161,216 is: 343,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640 : 161,216 = 161,216 : x
  2. Step 2: Convert to fraction form
    75,640/161,216 = 161,216/x
  3. Step 3: Cross multiply
    75,640x = 161,216 × 161,216
  4. Step 4: Simplify right side
    75,640x = 25,990,598,656
  5. Step 5: Solve for x
    x = 25,990,598,656/75,640
  6. Step 6: Final answer
    x = 343,609.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.