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Finding the Third Proportional to 56,277 and 87,113.25

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Solution

The third proportional to 56,277 and 87,113.25 is: 134,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,277 : 87,113.25 = 87,113.25 : x
  2. Step 2: Convert to fraction form
    56,277/87,113.25 = 87,113.25/x
  3. Step 3: Cross multiply
    56,277x = 87,113.25 × 87,113.25
  4. Step 4: Simplify right side
    56,277x = 7,588,718,325.56
  5. Step 5: Solve for x
    x = 7,588,718,325.56/56,277
  6. Step 6: Final answer
    x = 134,845.82

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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.