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Finding the Third Proportional to 92,277 and 142,310.25

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Solution

The third proportional to 92,277 and 142,310.25 is: 219,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,277 : 142,310.25 = 142,310.25 : x
  2. Step 2: Convert to fraction form
    92,277/142,310.25 = 142,310.25/x
  3. Step 3: Cross multiply
    92,277x = 142,310.25 × 142,310.25
  4. Step 4: Simplify right side
    92,277x = 20,252,207,255.06
  5. Step 5: Solve for x
    x = 20,252,207,255.06/92,277
  6. Step 6: Final answer
    x = 219,471.89

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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.