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Finding the Third Proportional to 76,432 and 118,104

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Solution

The third proportional to 76,432 and 118,104 is: 182,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432 : 118,104 = 118,104 : x
  2. Step 2: Convert to fraction form
    76,432/118,104 = 118,104/x
  3. Step 3: Cross multiply
    76,432x = 118,104 × 118,104
  4. Step 4: Simplify right side
    76,432x = 13,948,554,816
  5. Step 5: Solve for x
    x = 13,948,554,816/76,432
  6. Step 6: Final answer
    x = 182,496.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.