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Finding the Third Proportional to 59,253.75 and 130,515.75

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Solution

The third proportional to 59,253.75 and 130,515.75 is: 287,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,253.75 : 130,515.75 = 130,515.75 : x
  2. Step 2: Convert to fraction form
    59,253.75/130,515.75 = 130,515.75/x
  3. Step 3: Cross multiply
    59,253.75x = 130,515.75 × 130,515.75
  4. Step 4: Simplify right side
    59,253.75x = 17,034,360,998.06
  5. Step 5: Solve for x
    x = 17,034,360,998.06/59,253.75
  6. Step 6: Final answer
    x = 287,481.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.