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Finding the Third Proportional to 108,246 and 161,214

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Solution

The third proportional to 108,246 and 161,214 is: 240,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,246 : 161,214 = 161,214 : x
  2. Step 2: Convert to fraction form
    108,246/161,214 = 161,214/x
  3. Step 3: Cross multiply
    108,246x = 161,214 × 161,214
  4. Step 4: Simplify right side
    108,246x = 25,989,953,796
  5. Step 5: Solve for x
    x = 25,989,953,796/108,246
  6. Step 6: Final answer
    x = 240,100.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.