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Finding the Third Proportional to 62,652.19 and 137,709.19

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Solution

The third proportional to 62,652.19 and 137,709.19 is: 302,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,652.19 : 137,709.19 = 137,709.19 : x
  2. Step 2: Convert to fraction form
    62,652.19/137,709.19 = 137,709.19/x
  3. Step 3: Cross multiply
    62,652.19x = 137,709.19 × 137,709.19
  4. Step 4: Simplify right side
    62,652.19x = 18,963,820,321.91
  5. Step 5: Solve for x
    x = 18,963,820,321.91/62,652.19
  6. Step 6: Final answer
    x = 302,684.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.