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Finding the Third Proportional to 76,305 and 115,754

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Solution

The third proportional to 76,305 and 115,754 is: 175,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305 : 115,754 = 115,754 : x
  2. Step 2: Convert to fraction form
    76,305/115,754 = 115,754/x
  3. Step 3: Cross multiply
    76,305x = 115,754 × 115,754
  4. Step 4: Simplify right side
    76,305x = 13,398,988,516
  5. Step 5: Solve for x
    x = 13,398,988,516/76,305
  6. Step 6: Final answer
    x = 175,597.78

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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.