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Finding the Third Proportional to 70,627.50 and 100,665

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Solution

The third proportional to 70,627.50 and 100,665 is: 143,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,627.50 : 100,665 = 100,665 : x
  2. Step 2: Convert to fraction form
    70,627.50/100,665 = 100,665/x
  3. Step 3: Cross multiply
    70,627.50x = 100,665 × 100,665
  4. Step 4: Simplify right side
    70,627.50x = 10,133,442,225
  5. Step 5: Solve for x
    x = 10,133,442,225/70,627.50
  6. Step 6: Final answer
    x = 143,477.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.