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Finding the Third Proportional to 69,672.18 and 152,632.95

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Solution

The third proportional to 69,672.18 and 152,632.95 is: 334,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672.18 : 152,632.95 = 152,632.95 : x
  2. Step 2: Convert to fraction form
    69,672.18/152,632.95 = 152,632.95/x
  3. Step 3: Cross multiply
    69,672.18x = 152,632.95 × 152,632.95
  4. Step 4: Simplify right side
    69,672.18x = 23,296,817,783.44
  5. Step 5: Solve for x
    x = 23,296,817,783.44/69,672.18
  6. Step 6: Final answer
    x = 334,377.61

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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.