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Finding the Third Proportional to 115,051 and 251,021

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Solution

The third proportional to 115,051 and 251,021 is: 547,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,051 : 251,021 = 251,021 : x
  2. Step 2: Convert to fraction form
    115,051/251,021 = 251,021/x
  3. Step 3: Cross multiply
    115,051x = 251,021 × 251,021
  4. Step 4: Simplify right side
    115,051x = 63,011,542,441
  5. Step 5: Solve for x
    x = 63,011,542,441/115,051
  6. Step 6: Final answer
    x = 547,683.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.