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Finding the Third Proportional to 42,061 and 91,960

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Solution

The third proportional to 42,061 and 91,960 is: 201,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,061 : 91,960 = 91,960 : x
  2. Step 2: Convert to fraction form
    42,061/91,960 = 91,960/x
  3. Step 3: Cross multiply
    42,061x = 91,960 × 91,960
  4. Step 4: Simplify right side
    42,061x = 8,456,641,600
  5. Step 5: Solve for x
    x = 8,456,641,600/42,061
  6. Step 6: Final answer
    x = 201,056.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.