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Finding the Third Proportional to 62,328.50 and 137,122

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Solution

The third proportional to 62,328.50 and 137,122 is: 301,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,328.50 : 137,122 = 137,122 : x
  2. Step 2: Convert to fraction form
    62,328.50/137,122 = 137,122/x
  3. Step 3: Cross multiply
    62,328.50x = 137,122 × 137,122
  4. Step 4: Simplify right side
    62,328.50x = 18,802,442,884
  5. Step 5: Solve for x
    x = 18,802,442,884/62,328.50
  6. Step 6: Final answer
    x = 301,666.86

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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.