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Finding the Third Proportional to 68,520 and 152,610.75

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Solution

The third proportional to 68,520 and 152,610.75 is: 339,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,520 : 152,610.75 = 152,610.75 : x
  2. Step 2: Convert to fraction form
    68,520/152,610.75 = 152,610.75/x
  3. Step 3: Cross multiply
    68,520x = 152,610.75 × 152,610.75
  4. Step 4: Simplify right side
    68,520x = 23,290,041,015.56
  5. Step 5: Solve for x
    x = 23,290,041,015.56/68,520
  6. Step 6: Final answer
    x = 339,901.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.