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Finding the Third Proportional to 98,012 and 146,632

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Solution

The third proportional to 98,012 and 146,632 is: 219,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,012 : 146,632 = 146,632 : x
  2. Step 2: Convert to fraction form
    98,012/146,632 = 146,632/x
  3. Step 3: Cross multiply
    98,012x = 146,632 × 146,632
  4. Step 4: Simplify right side
    98,012x = 21,500,943,424
  5. Step 5: Solve for x
    x = 21,500,943,424/98,012
  6. Step 6: Final answer
    x = 219,370.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.