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Finding the Third Proportional to 52,467.75 and 83,121.19

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Solution

The third proportional to 52,467.75 and 83,121.19 is: 131,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,467.75 : 83,121.19 = 83,121.19 : x
  2. Step 2: Convert to fraction form
    52,467.75/83,121.19 = 83,121.19/x
  3. Step 3: Cross multiply
    52,467.75x = 83,121.19 × 83,121.19
  4. Step 4: Simplify right side
    52,467.75x = 6,909,131,811.41
  5. Step 5: Solve for x
    x = 6,909,131,811.41/52,467.75
  6. Step 6: Final answer
    x = 131,683.40

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.