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Finding the Third Proportional to 101,073 and 158,080.50

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Solution

The third proportional to 101,073 and 158,080.50 is: 247,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,073 : 158,080.50 = 158,080.50 : x
  2. Step 2: Convert to fraction form
    101,073/158,080.50 = 158,080.50/x
  3. Step 3: Cross multiply
    101,073x = 158,080.50 × 158,080.50
  4. Step 4: Simplify right side
    101,073x = 24,989,444,480.25
  5. Step 5: Solve for x
    x = 24,989,444,480.25/101,073
  6. Step 6: Final answer
    x = 247,241.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.