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Finding the Third Proportional to 69,637.50 and 150,358.50

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Solution

The third proportional to 69,637.50 and 150,358.50 is: 324,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,637.50 : 150,358.50 = 150,358.50 : x
  2. Step 2: Convert to fraction form
    69,637.50/150,358.50 = 150,358.50/x
  3. Step 3: Cross multiply
    69,637.50x = 150,358.50 × 150,358.50
  4. Step 4: Simplify right side
    69,637.50x = 22,607,678,522.25
  5. Step 5: Solve for x
    x = 22,607,678,522.25/69,637.50
  6. Step 6: Final answer
    x = 324,648.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.