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Finding the Third Proportional to 76,759 and 118,414

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Solution

The third proportional to 76,759 and 118,414 is: 182,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759 : 118,414 = 118,414 : x
  2. Step 2: Convert to fraction form
    76,759/118,414 = 118,414/x
  3. Step 3: Cross multiply
    76,759x = 118,414 × 118,414
  4. Step 4: Simplify right side
    76,759x = 14,021,875,396
  5. Step 5: Solve for x
    x = 14,021,875,396/76,759
  6. Step 6: Final answer
    x = 182,674.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.