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Finding the Third Proportional to 96,710 and 151,869

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Solution

The third proportional to 96,710 and 151,869 is: 238,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,710 : 151,869 = 151,869 : x
  2. Step 2: Convert to fraction form
    96,710/151,869 = 151,869/x
  3. Step 3: Cross multiply
    96,710x = 151,869 × 151,869
  4. Step 4: Simplify right side
    96,710x = 23,064,193,161
  5. Step 5: Solve for x
    x = 23,064,193,161/96,710
  6. Step 6: Final answer
    x = 238,488.19

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Why These Related Problems?

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