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Finding the Third Proportional to 39,398 and 85,111

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Solution

The third proportional to 39,398 and 85,111 is: 183,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,398 : 85,111 = 85,111 : x
  2. Step 2: Convert to fraction form
    39,398/85,111 = 85,111/x
  3. Step 3: Cross multiply
    39,398x = 85,111 × 85,111
  4. Step 4: Simplify right side
    39,398x = 7,243,882,321
  5. Step 5: Solve for x
    x = 7,243,882,321/39,398
  6. Step 6: Final answer
    x = 183,864.21

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