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Finding the Third Proportional to 107,913.75 and 167,562

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Solution

The third proportional to 107,913.75 and 167,562 is: 260,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913.75 : 167,562 = 167,562 : x
  2. Step 2: Convert to fraction form
    107,913.75/167,562 = 167,562/x
  3. Step 3: Cross multiply
    107,913.75x = 167,562 × 167,562
  4. Step 4: Simplify right side
    107,913.75x = 28,077,023,844
  5. Step 5: Solve for x
    x = 28,077,023,844/107,913.75
  6. Step 6: Final answer
    x = 260,180.23

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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.