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Finding the Third Proportional to 96,714 and 147,933

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Solution

The third proportional to 96,714 and 147,933 is: 226,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,714 : 147,933 = 147,933 : x
  2. Step 2: Convert to fraction form
    96,714/147,933 = 147,933/x
  3. Step 3: Cross multiply
    96,714x = 147,933 × 147,933
  4. Step 4: Simplify right side
    96,714x = 21,884,172,489
  5. Step 5: Solve for x
    x = 21,884,172,489/96,714
  6. Step 6: Final answer
    x = 226,277.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.