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Finding the Third Proportional to 97,084 and 150,808

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Solution

The third proportional to 97,084 and 150,808 is: 234,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084 : 150,808 = 150,808 : x
  2. Step 2: Convert to fraction form
    97,084/150,808 = 150,808/x
  3. Step 3: Cross multiply
    97,084x = 150,808 × 150,808
  4. Step 4: Simplify right side
    97,084x = 22,743,052,864
  5. Step 5: Solve for x
    x = 22,743,052,864/97,084
  6. Step 6: Final answer
    x = 234,261.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.