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Finding the Third Proportional to 68,298 and 92,071

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Solution

The third proportional to 68,298 and 92,071 is: 124,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,298 : 92,071 = 92,071 : x
  2. Step 2: Convert to fraction form
    68,298/92,071 = 92,071/x
  3. Step 3: Cross multiply
    68,298x = 92,071 × 92,071
  4. Step 4: Simplify right side
    68,298x = 8,477,069,041
  5. Step 5: Solve for x
    x = 8,477,069,041/68,298
  6. Step 6: Final answer
    x = 124,118.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.