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Finding the Third Proportional to 108,259 and 162,226

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Solution

The third proportional to 108,259 and 162,226 is: 243,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,259 : 162,226 = 162,226 : x
  2. Step 2: Convert to fraction form
    108,259/162,226 = 162,226/x
  3. Step 3: Cross multiply
    108,259x = 162,226 × 162,226
  4. Step 4: Simplify right side
    108,259x = 26,317,275,076
  5. Step 5: Solve for x
    x = 26,317,275,076/108,259
  6. Step 6: Final answer
    x = 243,095.49

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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.