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Finding the Third Proportional to 115,427 and 147,625

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Solution

The third proportional to 115,427 and 147,625 is: 188,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,427 : 147,625 = 147,625 : x
  2. Step 2: Convert to fraction form
    115,427/147,625 = 147,625/x
  3. Step 3: Cross multiply
    115,427x = 147,625 × 147,625
  4. Step 4: Simplify right side
    115,427x = 21,793,140,625
  5. Step 5: Solve for x
    x = 21,793,140,625/115,427
  6. Step 6: Final answer
    x = 188,804.53

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.