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Finding the Third Proportional to 98,174 and 149,084

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Solution

The third proportional to 98,174 and 149,084 is: 226,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,174 : 149,084 = 149,084 : x
  2. Step 2: Convert to fraction form
    98,174/149,084 = 149,084/x
  3. Step 3: Cross multiply
    98,174x = 149,084 × 149,084
  4. Step 4: Simplify right side
    98,174x = 22,226,039,056
  5. Step 5: Solve for x
    x = 22,226,039,056/98,174
  6. Step 6: Final answer
    x = 226,394.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.