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Finding the Third Proportional to 46,750 and 100,057

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Solution

The third proportional to 46,750 and 100,057 is: 214,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750 : 100,057 = 100,057 : x
  2. Step 2: Convert to fraction form
    46,750/100,057 = 100,057/x
  3. Step 3: Cross multiply
    46,750x = 100,057 × 100,057
  4. Step 4: Simplify right side
    46,750x = 10,011,403,249
  5. Step 5: Solve for x
    x = 10,011,403,249/46,750
  6. Step 6: Final answer
    x = 214,147.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.