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Finding the Third Proportional to 63,243 and 132,331.50

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Solution

The third proportional to 63,243 and 132,331.50 is: 276,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,243 : 132,331.50 = 132,331.50 : x
  2. Step 2: Convert to fraction form
    63,243/132,331.50 = 132,331.50/x
  3. Step 3: Cross multiply
    63,243x = 132,331.50 × 132,331.50
  4. Step 4: Simplify right side
    63,243x = 17,511,625,892.25
  5. Step 5: Solve for x
    x = 17,511,625,892.25/63,243
  6. Step 6: Final answer
    x = 276,894.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.