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Finding the Third Proportional to 95,931 and 150,158

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Solution

The third proportional to 95,931 and 150,158 is: 235,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,931 : 150,158 = 150,158 : x
  2. Step 2: Convert to fraction form
    95,931/150,158 = 150,158/x
  3. Step 3: Cross multiply
    95,931x = 150,158 × 150,158
  4. Step 4: Simplify right side
    95,931x = 22,547,424,964
  5. Step 5: Solve for x
    x = 22,547,424,964/95,931
  6. Step 6: Final answer
    x = 235,037.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.