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Finding the Third Proportional to 59,748.75 and 130,366.69

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Solution

The third proportional to 59,748.75 and 130,366.69 is: 284,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,748.75 : 130,366.69 = 130,366.69 : x
  2. Step 2: Convert to fraction form
    59,748.75/130,366.69 = 130,366.69/x
  3. Step 3: Cross multiply
    59,748.75x = 130,366.69 × 130,366.69
  4. Step 4: Simplify right side
    59,748.75x = 16,995,473,209.72
  5. Step 5: Solve for x
    x = 16,995,473,209.72/59,748.75
  6. Step 6: Final answer
    x = 284,449.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.