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Finding the Third Proportional to 100,037.50 and 214,769

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Solution

The third proportional to 100,037.50 and 214,769 is: 461,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037.50 : 214,769 = 214,769 : x
  2. Step 2: Convert to fraction form
    100,037.50/214,769 = 214,769/x
  3. Step 3: Cross multiply
    100,037.50x = 214,769 × 214,769
  4. Step 4: Simplify right side
    100,037.50x = 46,125,723,361
  5. Step 5: Solve for x
    x = 46,125,723,361/100,037.50
  6. Step 6: Final answer
    x = 461,084.33

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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.