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Finding the Third Proportional to 42,836.25 and 92,823.25

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Solution

The third proportional to 42,836.25 and 92,823.25 is: 201,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,836.25 : 92,823.25 = 92,823.25 : x
  2. Step 2: Convert to fraction form
    42,836.25/92,823.25 = 92,823.25/x
  3. Step 3: Cross multiply
    42,836.25x = 92,823.25 × 92,823.25
  4. Step 4: Simplify right side
    42,836.25x = 8,616,155,740.56
  5. Step 5: Solve for x
    x = 8,616,155,740.56/42,836.25
  6. Step 6: Final answer
    x = 201,141.69

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