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Finding the Third Proportional to 96,714 and 143,226

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Solution

The third proportional to 96,714 and 143,226 is: 212,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,714 : 143,226 = 143,226 : x
  2. Step 2: Convert to fraction form
    96,714/143,226 = 143,226/x
  3. Step 3: Cross multiply
    96,714x = 143,226 × 143,226
  4. Step 4: Simplify right side
    96,714x = 20,513,687,076
  5. Step 5: Solve for x
    x = 20,513,687,076/96,714
  6. Step 6: Final answer
    x = 212,106.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.