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Finding the Third Proportional to 59,994.84 and 129,610.97

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Solution

The third proportional to 59,994.84 and 129,610.97 is: 280,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,994.84 : 129,610.97 = 129,610.97 : x
  2. Step 2: Convert to fraction form
    59,994.84/129,610.97 = 129,610.97/x
  3. Step 3: Cross multiply
    59,994.84x = 129,610.97 × 129,610.97
  4. Step 4: Simplify right side
    59,994.84x = 16,799,003,220.31
  5. Step 5: Solve for x
    x = 16,799,003,220.31/59,994.84
  6. Step 6: Final answer
    x = 280,007.45

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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.