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Finding the Third Proportional to 59,218.50 and 129,507.75

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Solution

The third proportional to 59,218.50 and 129,507.75 is: 283,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,218.50 : 129,507.75 = 129,507.75 : x
  2. Step 2: Convert to fraction form
    59,218.50/129,507.75 = 129,507.75/x
  3. Step 3: Cross multiply
    59,218.50x = 129,507.75 × 129,507.75
  4. Step 4: Simplify right side
    59,218.50x = 16,772,257,310.06
  5. Step 5: Solve for x
    x = 16,772,257,310.06/59,218.50
  6. Step 6: Final answer
    x = 283,226.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.