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Finding the Third Proportional to 67,475 and 100,841

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Solution

The third proportional to 67,475 and 100,841 is: 150,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,475 : 100,841 = 100,841 : x
  2. Step 2: Convert to fraction form
    67,475/100,841 = 100,841/x
  3. Step 3: Cross multiply
    67,475x = 100,841 × 100,841
  4. Step 4: Simplify right side
    67,475x = 10,168,907,281
  5. Step 5: Solve for x
    x = 10,168,907,281/67,475
  6. Step 6: Final answer
    x = 150,706.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.