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Finding the Third Proportional to 78,792 and 118,248

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Solution

The third proportional to 78,792 and 118,248 is: 177,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,792 : 118,248 = 118,248 : x
  2. Step 2: Convert to fraction form
    78,792/118,248 = 118,248/x
  3. Step 3: Cross multiply
    78,792x = 118,248 × 118,248
  4. Step 4: Simplify right side
    78,792x = 13,982,589,504
  5. Step 5: Solve for x
    x = 13,982,589,504/78,792
  6. Step 6: Final answer
    x = 177,462.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.