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Finding the Third Proportional to 64,515 and 101,380.50

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Solution

The third proportional to 64,515 and 101,380.50 is: 159,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,515 : 101,380.50 = 101,380.50 : x
  2. Step 2: Convert to fraction form
    64,515/101,380.50 = 101,380.50/x
  3. Step 3: Cross multiply
    64,515x = 101,380.50 × 101,380.50
  4. Step 4: Simplify right side
    64,515x = 10,278,005,780.25
  5. Step 5: Solve for x
    x = 10,278,005,780.25/64,515
  6. Step 6: Final answer
    x = 159,311.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.