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Finding the Third Proportional to 76,342 and 115,350

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Solution

The third proportional to 76,342 and 115,350 is: 174,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342 : 115,350 = 115,350 : x
  2. Step 2: Convert to fraction form
    76,342/115,350 = 115,350/x
  3. Step 3: Cross multiply
    76,342x = 115,350 × 115,350
  4. Step 4: Simplify right side
    76,342x = 13,305,622,500
  5. Step 5: Solve for x
    x = 13,305,622,500/76,342
  6. Step 6: Final answer
    x = 174,289.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.