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Finding the Third Proportional to 30,147.19 and 66,124.69

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Solution

The third proportional to 30,147.19 and 66,124.69 is: 145,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.19 : 66,124.69 = 66,124.69 : x
  2. Step 2: Convert to fraction form
    30,147.19/66,124.69 = 66,124.69/x
  3. Step 3: Cross multiply
    30,147.19x = 66,124.69 × 66,124.69
  4. Step 4: Simplify right side
    30,147.19x = 4,372,474,296.97
  5. Step 5: Solve for x
    x = 4,372,474,296.97/30,147.19
  6. Step 6: Final answer
    x = 145,037.55

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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.