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Finding the Third Proportional to 59,430 and 131,979

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Solution

The third proportional to 59,430 and 131,979 is: 293,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,430 : 131,979 = 131,979 : x
  2. Step 2: Convert to fraction form
    59,430/131,979 = 131,979/x
  3. Step 3: Cross multiply
    59,430x = 131,979 × 131,979
  4. Step 4: Simplify right side
    59,430x = 17,418,456,441
  5. Step 5: Solve for x
    x = 17,418,456,441/59,430
  6. Step 6: Final answer
    x = 293,091.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.