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Finding the Third Proportional to 42,104.81 and 92,122.31

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Solution

The third proportional to 42,104.81 and 92,122.31 is: 201,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,104.81 : 92,122.31 = 92,122.31 : x
  2. Step 2: Convert to fraction form
    42,104.81/92,122.31 = 92,122.31/x
  3. Step 3: Cross multiply
    42,104.81x = 92,122.31 × 92,122.31
  4. Step 4: Simplify right side
    42,104.81x = 8,486,520,460.35
  5. Step 5: Solve for x
    x = 8,486,520,460.35/42,104.81
  6. Step 6: Final answer
    x = 201,557.02

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