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Finding the Third Proportional to 68,832 and 152,403.75

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Solution

The third proportional to 68,832 and 152,403.75 is: 337,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,832 : 152,403.75 = 152,403.75 : x
  2. Step 2: Convert to fraction form
    68,832/152,403.75 = 152,403.75/x
  3. Step 3: Cross multiply
    68,832x = 152,403.75 × 152,403.75
  4. Step 4: Simplify right side
    68,832x = 23,226,903,014.06
  5. Step 5: Solve for x
    x = 23,226,903,014.06/68,832
  6. Step 6: Final answer
    x = 337,443.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.