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Finding the Third Proportional to 68,807.06 and 113,877.56

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Solution

The third proportional to 68,807.06 and 113,877.56 is: 188,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,807.06 : 113,877.56 = 113,877.56 : x
  2. Step 2: Convert to fraction form
    68,807.06/113,877.56 = 113,877.56/x
  3. Step 3: Cross multiply
    68,807.06x = 113,877.56 × 113,877.56
  4. Step 4: Simplify right side
    68,807.06x = 12,968,099,240.94
  5. Step 5: Solve for x
    x = 12,968,099,240.94/68,807.06
  6. Step 6: Final answer
    x = 188,470.47

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.