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Finding the Third Proportional to 42,087 and 92,922

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Solution

The third proportional to 42,087 and 92,922 is: 205,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,087 : 92,922 = 92,922 : x
  2. Step 2: Convert to fraction form
    42,087/92,922 = 92,922/x
  3. Step 3: Cross multiply
    42,087x = 92,922 × 92,922
  4. Step 4: Simplify right side
    42,087x = 8,634,498,084
  5. Step 5: Solve for x
    x = 8,634,498,084/42,087
  6. Step 6: Final answer
    x = 205,158.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.