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Finding the Third Proportional to 42,254 and 91,807

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Solution

The third proportional to 42,254 and 91,807 is: 199,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,254 : 91,807 = 91,807 : x
  2. Step 2: Convert to fraction form
    42,254/91,807 = 91,807/x
  3. Step 3: Cross multiply
    42,254x = 91,807 × 91,807
  4. Step 4: Simplify right side
    42,254x = 8,428,525,249
  5. Step 5: Solve for x
    x = 8,428,525,249/42,254
  6. Step 6: Final answer
    x = 199,472.84

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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.