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Finding the Third Proportional to 69,718.50 and 152,775

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Solution

The third proportional to 69,718.50 and 152,775 is: 334,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,718.50 : 152,775 = 152,775 : x
  2. Step 2: Convert to fraction form
    69,718.50/152,775 = 152,775/x
  3. Step 3: Cross multiply
    69,718.50x = 152,775 × 152,775
  4. Step 4: Simplify right side
    69,718.50x = 23,340,200,625
  5. Step 5: Solve for x
    x = 23,340,200,625/69,718.50
  6. Step 6: Final answer
    x = 334,777.72

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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.