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Finding the Third Proportional to 67,683.09 and 148,488.19

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Solution

The third proportional to 67,683.09 and 148,488.19 is: 325,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683.09 : 148,488.19 = 148,488.19 : x
  2. Step 2: Convert to fraction form
    67,683.09/148,488.19 = 148,488.19/x
  3. Step 3: Cross multiply
    67,683.09x = 148,488.19 × 148,488.19
  4. Step 4: Simplify right side
    67,683.09x = 22,048,741,827.04
  5. Step 5: Solve for x
    x = 22,048,741,827.04/67,683.09
  6. Step 6: Final answer
    x = 325,764.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.