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Finding the Third Proportional to 62,005.50 and 136,161

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Solution

The third proportional to 62,005.50 and 136,161 is: 299,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,005.50 : 136,161 = 136,161 : x
  2. Step 2: Convert to fraction form
    62,005.50/136,161 = 136,161/x
  3. Step 3: Cross multiply
    62,005.50x = 136,161 × 136,161
  4. Step 4: Simplify right side
    62,005.50x = 18,539,817,921
  5. Step 5: Solve for x
    x = 18,539,817,921/62,005.50
  6. Step 6: Final answer
    x = 299,002.80

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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.