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Finding the Third Proportional to 107,044.50 and 150,609

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Solution

The third proportional to 107,044.50 and 150,609 is: 211,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044.50 : 150,609 = 150,609 : x
  2. Step 2: Convert to fraction form
    107,044.50/150,609 = 150,609/x
  3. Step 3: Cross multiply
    107,044.50x = 150,609 × 150,609
  4. Step 4: Simplify right side
    107,044.50x = 22,683,070,881
  5. Step 5: Solve for x
    x = 22,683,070,881/107,044.50
  6. Step 6: Final answer
    x = 211,903.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.