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Finding the Third Proportional to 69,567.75 and 152,449.88

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Solution

The third proportional to 69,567.75 and 152,449.88 is: 334,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,567.75 : 152,449.88 = 152,449.88 : x
  2. Step 2: Convert to fraction form
    69,567.75/152,449.88 = 152,449.88/x
  3. Step 3: Cross multiply
    69,567.75x = 152,449.88 × 152,449.88
  4. Step 4: Simplify right side
    69,567.75x = 23,240,964,387.52
  5. Step 5: Solve for x
    x = 23,240,964,387.52/69,567.75
  6. Step 6: Final answer
    x = 334,076.70

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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.