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Finding the Third Proportional to 42,926 and 92,476

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Solution

The third proportional to 42,926 and 92,476 is: 199,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926 : 92,476 = 92,476 : x
  2. Step 2: Convert to fraction form
    42,926/92,476 = 92,476/x
  3. Step 3: Cross multiply
    42,926x = 92,476 × 92,476
  4. Step 4: Simplify right side
    42,926x = 8,551,810,576
  5. Step 5: Solve for x
    x = 8,551,810,576/42,926
  6. Step 6: Final answer
    x = 199,222.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.