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Finding the Third Proportional to 118,574 and 180,867

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Solution

The third proportional to 118,574 and 180,867 is: 275,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,574 : 180,867 = 180,867 : x
  2. Step 2: Convert to fraction form
    118,574/180,867 = 180,867/x
  3. Step 3: Cross multiply
    118,574x = 180,867 × 180,867
  4. Step 4: Simplify right side
    118,574x = 32,712,871,689
  5. Step 5: Solve for x
    x = 32,712,871,689/118,574
  6. Step 6: Final answer
    x = 275,885.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.