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Finding the Third Proportional to 68,827.50 and 152,394.56

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Solution

The third proportional to 68,827.50 and 152,394.56 is: 337,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.50 : 152,394.56 = 152,394.56 : x
  2. Step 2: Convert to fraction form
    68,827.50/152,394.56 = 152,394.56/x
  3. Step 3: Cross multiply
    68,827.50x = 152,394.56 × 152,394.56
  4. Step 4: Simplify right side
    68,827.50x = 23,224,102,679.57
  5. Step 5: Solve for x
    x = 23,224,102,679.57/68,827.50
  6. Step 6: Final answer
    x = 337,424.76

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