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Finding the Third Proportional to 67,617 and 101,435

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Solution

The third proportional to 67,617 and 101,435 is: 152,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,617 : 101,435 = 101,435 : x
  2. Step 2: Convert to fraction form
    67,617/101,435 = 101,435/x
  3. Step 3: Cross multiply
    67,617x = 101,435 × 101,435
  4. Step 4: Simplify right side
    67,617x = 10,289,059,225
  5. Step 5: Solve for x
    x = 10,289,059,225/67,617
  6. Step 6: Final answer
    x = 152,166.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.