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Finding the Third Proportional to 108,006 and 158,361

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Solution

The third proportional to 108,006 and 158,361 is: 232,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,006 : 158,361 = 158,361 : x
  2. Step 2: Convert to fraction form
    108,006/158,361 = 158,361/x
  3. Step 3: Cross multiply
    108,006x = 158,361 × 158,361
  4. Step 4: Simplify right side
    108,006x = 25,078,206,321
  5. Step 5: Solve for x
    x = 25,078,206,321/108,006
  6. Step 6: Final answer
    x = 232,192.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.