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Finding the Third Proportional to 67,878 and 113,116.50

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Solution

The third proportional to 67,878 and 113,116.50 is: 188,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878 : 113,116.50 = 113,116.50 : x
  2. Step 2: Convert to fraction form
    67,878/113,116.50 = 113,116.50/x
  3. Step 3: Cross multiply
    67,878x = 113,116.50 × 113,116.50
  4. Step 4: Simplify right side
    67,878x = 12,795,342,572.25
  5. Step 5: Solve for x
    x = 12,795,342,572.25/67,878
  6. Step 6: Final answer
    x = 188,505.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.