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Finding the Third Proportional to 98,052.50 and 138,077

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Solution

The third proportional to 98,052.50 and 138,077 is: 194,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052.50 : 138,077 = 138,077 : x
  2. Step 2: Convert to fraction form
    98,052.50/138,077 = 138,077/x
  3. Step 3: Cross multiply
    98,052.50x = 138,077 × 138,077
  4. Step 4: Simplify right side
    98,052.50x = 19,065,257,929
  5. Step 5: Solve for x
    x = 19,065,257,929/98,052.50
  6. Step 6: Final answer
    x = 194,439.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.