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Finding the Third Proportional to 69,717 and 152,775

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Solution

The third proportional to 69,717 and 152,775 is: 334,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,717 : 152,775 = 152,775 : x
  2. Step 2: Convert to fraction form
    69,717/152,775 = 152,775/x
  3. Step 3: Cross multiply
    69,717x = 152,775 × 152,775
  4. Step 4: Simplify right side
    69,717x = 23,340,200,625
  5. Step 5: Solve for x
    x = 23,340,200,625/69,717
  6. Step 6: Final answer
    x = 334,784.93

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Why These Related Problems?

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