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Finding the Third Proportional to 107,160 and 150,948

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Solution

The third proportional to 107,160 and 150,948 is: 212,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,160 : 150,948 = 150,948 : x
  2. Step 2: Convert to fraction form
    107,160/150,948 = 150,948/x
  3. Step 3: Cross multiply
    107,160x = 150,948 × 150,948
  4. Step 4: Simplify right side
    107,160x = 22,785,298,704
  5. Step 5: Solve for x
    x = 22,785,298,704/107,160
  6. Step 6: Final answer
    x = 212,628.77

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Why These Related Problems?

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