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Finding the Third Proportional to 108,150 and 161,328

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Solution

The third proportional to 108,150 and 161,328 is: 240,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,150 : 161,328 = 161,328 : x
  2. Step 2: Convert to fraction form
    108,150/161,328 = 161,328/x
  3. Step 3: Cross multiply
    108,150x = 161,328 × 161,328
  4. Step 4: Simplify right side
    108,150x = 26,026,723,584
  5. Step 5: Solve for x
    x = 26,026,723,584/108,150
  6. Step 6: Final answer
    x = 240,653.94

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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.