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Finding the Third Proportional to 109,086 and 167,614

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Solution

The third proportional to 109,086 and 167,614 is: 257,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,086 : 167,614 = 167,614 : x
  2. Step 2: Convert to fraction form
    109,086/167,614 = 167,614/x
  3. Step 3: Cross multiply
    109,086x = 167,614 × 167,614
  4. Step 4: Simplify right side
    109,086x = 28,094,452,996
  5. Step 5: Solve for x
    x = 28,094,452,996/109,086
  6. Step 6: Final answer
    x = 257,544.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.