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Finding the Third Proportional to 75,577 and 115,176

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Solution

The third proportional to 75,577 and 115,176 is: 175,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577 : 115,176 = 115,176 : x
  2. Step 2: Convert to fraction form
    75,577/115,176 = 115,176/x
  3. Step 3: Cross multiply
    75,577x = 115,176 × 115,176
  4. Step 4: Simplify right side
    75,577x = 13,265,510,976
  5. Step 5: Solve for x
    x = 13,265,510,976/75,577
  6. Step 6: Final answer
    x = 175,523.12

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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.