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Finding the Third Proportional to 42,557 and 92,486

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Solution

The third proportional to 42,557 and 92,486 is: 200,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,557 : 92,486 = 92,486 : x
  2. Step 2: Convert to fraction form
    42,557/92,486 = 92,486/x
  3. Step 3: Cross multiply
    42,557x = 92,486 × 92,486
  4. Step 4: Simplify right side
    42,557x = 8,553,660,196
  5. Step 5: Solve for x
    x = 8,553,660,196/42,557
  6. Step 6: Final answer
    x = 200,993.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.