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Finding the Third Proportional to 96,714 and 210,239

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Solution

The third proportional to 96,714 and 210,239 is: 457,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,714 : 210,239 = 210,239 : x
  2. Step 2: Convert to fraction form
    96,714/210,239 = 210,239/x
  3. Step 3: Cross multiply
    96,714x = 210,239 × 210,239
  4. Step 4: Simplify right side
    96,714x = 44,200,437,121
  5. Step 5: Solve for x
    x = 44,200,437,121/96,714
  6. Step 6: Final answer
    x = 457,022.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.