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Finding the Third Proportional to 42,240 and 92,865

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Solution

The third proportional to 42,240 and 92,865 is: 204,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 92,865 = 92,865 : x
  2. Step 2: Convert to fraction form
    42,240/92,865 = 92,865/x
  3. Step 3: Cross multiply
    42,240x = 92,865 × 92,865
  4. Step 4: Simplify right side
    42,240x = 8,623,908,225
  5. Step 5: Solve for x
    x = 8,623,908,225/42,240
  6. Step 6: Final answer
    x = 204,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.