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Finding the Third Proportional to 72,884 and 113,214

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Solution

The third proportional to 72,884 and 113,214 is: 175,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,884 : 113,214 = 113,214 : x
  2. Step 2: Convert to fraction form
    72,884/113,214 = 113,214/x
  3. Step 3: Cross multiply
    72,884x = 113,214 × 113,214
  4. Step 4: Simplify right side
    72,884x = 12,817,409,796
  5. Step 5: Solve for x
    x = 12,817,409,796/72,884
  6. Step 6: Final answer
    x = 175,860.41

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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.