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Finding the Third Proportional to 39,108 and 84,297

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Solution

The third proportional to 39,108 and 84,297 is: 181,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,108 : 84,297 = 84,297 : x
  2. Step 2: Convert to fraction form
    39,108/84,297 = 84,297/x
  3. Step 3: Cross multiply
    39,108x = 84,297 × 84,297
  4. Step 4: Simplify right side
    39,108x = 7,105,984,209
  5. Step 5: Solve for x
    x = 7,105,984,209/39,108
  6. Step 6: Final answer
    x = 181,701.55

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Why These Related Problems?

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