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Finding the Third Proportional to 42,642 and 92,004.75

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Solution

The third proportional to 42,642 and 92,004.75 is: 198,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642 : 92,004.75 = 92,004.75 : x
  2. Step 2: Convert to fraction form
    42,642/92,004.75 = 92,004.75/x
  3. Step 3: Cross multiply
    42,642x = 92,004.75 × 92,004.75
  4. Step 4: Simplify right side
    42,642x = 8,464,874,022.56
  5. Step 5: Solve for x
    x = 8,464,874,022.56/42,642
  6. Step 6: Final answer
    x = 198,510.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.