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Finding the Third Proportional to 108,270 and 161,856

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Solution

The third proportional to 108,270 and 161,856 is: 241,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,270 : 161,856 = 161,856 : x
  2. Step 2: Convert to fraction form
    108,270/161,856 = 161,856/x
  3. Step 3: Cross multiply
    108,270x = 161,856 × 161,856
  4. Step 4: Simplify right side
    108,270x = 26,197,364,736
  5. Step 5: Solve for x
    x = 26,197,364,736/108,270
  6. Step 6: Final answer
    x = 241,963.28

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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.