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Finding the Third Proportional to 98,073 and 155,380.50

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Solution

The third proportional to 98,073 and 155,380.50 is: 246,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073 : 155,380.50 = 155,380.50 : x
  2. Step 2: Convert to fraction form
    98,073/155,380.50 = 155,380.50/x
  3. Step 3: Cross multiply
    98,073x = 155,380.50 × 155,380.50
  4. Step 4: Simplify right side
    98,073x = 24,143,099,780.25
  5. Step 5: Solve for x
    x = 24,143,099,780.25/98,073
  6. Step 6: Final answer
    x = 246,174.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.