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Finding the Third Proportional to 70,002 and 106,298

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Solution

The third proportional to 70,002 and 106,298 is: 161,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002 : 106,298 = 106,298 : x
  2. Step 2: Convert to fraction form
    70,002/106,298 = 106,298/x
  3. Step 3: Cross multiply
    70,002x = 106,298 × 106,298
  4. Step 4: Simplify right side
    70,002x = 11,299,264,804
  5. Step 5: Solve for x
    x = 11,299,264,804/70,002
  6. Step 6: Final answer
    x = 161,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.