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Finding the Third Proportional to 97,176 and 150,948

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Solution

The third proportional to 97,176 and 150,948 is: 234,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,176 : 150,948 = 150,948 : x
  2. Step 2: Convert to fraction form
    97,176/150,948 = 150,948/x
  3. Step 3: Cross multiply
    97,176x = 150,948 × 150,948
  4. Step 4: Simplify right side
    97,176x = 22,785,298,704
  5. Step 5: Solve for x
    x = 22,785,298,704/97,176
  6. Step 6: Final answer
    x = 234,474.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.