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Finding the Third Proportional to 99,952 and 214,725

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Solution

The third proportional to 99,952 and 214,725 is: 461,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,952 : 214,725 = 214,725 : x
  2. Step 2: Convert to fraction form
    99,952/214,725 = 214,725/x
  3. Step 3: Cross multiply
    99,952x = 214,725 × 214,725
  4. Step 4: Simplify right side
    99,952x = 46,106,825,625
  5. Step 5: Solve for x
    x = 46,106,825,625/99,952
  6. Step 6: Final answer
    x = 461,289.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.