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Finding the Third Proportional to 78,165 and 124,476.75

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Solution

The third proportional to 78,165 and 124,476.75 is: 198,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165 : 124,476.75 = 124,476.75 : x
  2. Step 2: Convert to fraction form
    78,165/124,476.75 = 124,476.75/x
  3. Step 3: Cross multiply
    78,165x = 124,476.75 × 124,476.75
  4. Step 4: Simplify right side
    78,165x = 15,494,461,290.56
  5. Step 5: Solve for x
    x = 15,494,461,290.56/78,165
  6. Step 6: Final answer
    x = 198,227.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.