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Finding the Third Proportional to 115,145 and 175,503

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Solution

The third proportional to 115,145 and 175,503 is: 267,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,145 : 175,503 = 175,503 : x
  2. Step 2: Convert to fraction form
    115,145/175,503 = 175,503/x
  3. Step 3: Cross multiply
    115,145x = 175,503 × 175,503
  4. Step 4: Simplify right side
    115,145x = 30,801,303,009
  5. Step 5: Solve for x
    x = 30,801,303,009/115,145
  6. Step 6: Final answer
    x = 267,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.