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Finding the Third Proportional to 42,346 and 91,074

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Solution

The third proportional to 42,346 and 91,074 is: 195,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,346 : 91,074 = 91,074 : x
  2. Step 2: Convert to fraction form
    42,346/91,074 = 91,074/x
  3. Step 3: Cross multiply
    42,346x = 91,074 × 91,074
  4. Step 4: Simplify right side
    42,346x = 8,294,473,476
  5. Step 5: Solve for x
    x = 8,294,473,476/42,346
  6. Step 6: Final answer
    x = 195,873.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.