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Finding the Third Proportional to 98,622 and 151,740

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Solution

The third proportional to 98,622 and 151,740 is: 233,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 151,740 = 151,740 : x
  2. Step 2: Convert to fraction form
    98,622/151,740 = 151,740/x
  3. Step 3: Cross multiply
    98,622x = 151,740 × 151,740
  4. Step 4: Simplify right side
    98,622x = 23,025,027,600
  5. Step 5: Solve for x
    x = 23,025,027,600/98,622
  6. Step 6: Final answer
    x = 233,467.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.