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Finding the Third Proportional to 59,231 and 84,701

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Solution

The third proportional to 59,231 and 84,701 is: 121,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,231 : 84,701 = 84,701 : x
  2. Step 2: Convert to fraction form
    59,231/84,701 = 84,701/x
  3. Step 3: Cross multiply
    59,231x = 84,701 × 84,701
  4. Step 4: Simplify right side
    59,231x = 7,174,259,401
  5. Step 5: Solve for x
    x = 7,174,259,401/59,231
  6. Step 6: Final answer
    x = 121,123.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.