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Finding the Third Proportional to 107,275.50 and 150,049

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Solution

The third proportional to 107,275.50 and 150,049 is: 209,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,275.50 : 150,049 = 150,049 : x
  2. Step 2: Convert to fraction form
    107,275.50/150,049 = 150,049/x
  3. Step 3: Cross multiply
    107,275.50x = 150,049 × 150,049
  4. Step 4: Simplify right side
    107,275.50x = 22,514,702,401
  5. Step 5: Solve for x
    x = 22,514,702,401/107,275.50
  6. Step 6: Final answer
    x = 209,877.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.