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Finding the Third Proportional to 107,913.75 and 159,777

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Solution

The third proportional to 107,913.75 and 159,777 is: 236,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913.75 : 159,777 = 159,777 : x
  2. Step 2: Convert to fraction form
    107,913.75/159,777 = 159,777/x
  3. Step 3: Cross multiply
    107,913.75x = 159,777 × 159,777
  4. Step 4: Simplify right side
    107,913.75x = 25,528,689,729
  5. Step 5: Solve for x
    x = 25,528,689,729/107,913.75
  6. Step 6: Final answer
    x = 236,565.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.