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Finding the Third Proportional to 42,724 and 92,015

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Solution

The third proportional to 42,724 and 92,015 is: 198,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724 : 92,015 = 92,015 : x
  2. Step 2: Convert to fraction form
    42,724/92,015 = 92,015/x
  3. Step 3: Cross multiply
    42,724x = 92,015 × 92,015
  4. Step 4: Simplify right side
    42,724x = 8,466,760,225
  5. Step 5: Solve for x
    x = 8,466,760,225/42,724
  6. Step 6: Final answer
    x = 198,173.40

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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.