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Finding the Third Proportional to 108,300 and 167,367

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Solution

The third proportional to 108,300 and 167,367 is: 258,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,300 : 167,367 = 167,367 : x
  2. Step 2: Convert to fraction form
    108,300/167,367 = 167,367/x
  3. Step 3: Cross multiply
    108,300x = 167,367 × 167,367
  4. Step 4: Simplify right side
    108,300x = 28,011,712,689
  5. Step 5: Solve for x
    x = 28,011,712,689/108,300
  6. Step 6: Final answer
    x = 258,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.