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Finding the Third Proportional to 98,838 and 149,112

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Solution

The third proportional to 98,838 and 149,112 is: 224,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,838 : 149,112 = 149,112 : x
  2. Step 2: Convert to fraction form
    98,838/149,112 = 149,112/x
  3. Step 3: Cross multiply
    98,838x = 149,112 × 149,112
  4. Step 4: Simplify right side
    98,838x = 22,234,388,544
  5. Step 5: Solve for x
    x = 22,234,388,544/98,838
  6. Step 6: Final answer
    x = 224,957.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.