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Finding the Third Proportional to 78,397 and 119,438

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Solution

The third proportional to 78,397 and 119,438 is: 181,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397 : 119,438 = 119,438 : x
  2. Step 2: Convert to fraction form
    78,397/119,438 = 119,438/x
  3. Step 3: Cross multiply
    78,397x = 119,438 × 119,438
  4. Step 4: Simplify right side
    78,397x = 14,265,435,844
  5. Step 5: Solve for x
    x = 14,265,435,844/78,397
  6. Step 6: Final answer
    x = 181,964.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.