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Finding the Third Proportional to 69,760.50 and 152,562

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Solution

The third proportional to 69,760.50 and 152,562 is: 333,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,760.50 : 152,562 = 152,562 : x
  2. Step 2: Convert to fraction form
    69,760.50/152,562 = 152,562/x
  3. Step 3: Cross multiply
    69,760.50x = 152,562 × 152,562
  4. Step 4: Simplify right side
    69,760.50x = 23,275,163,844
  5. Step 5: Solve for x
    x = 23,275,163,844/69,760.50
  6. Step 6: Final answer
    x = 333,643.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.