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Finding the Third Proportional to 119,407 and 251,102

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Solution

The third proportional to 119,407 and 251,102 is: 528,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,407 : 251,102 = 251,102 : x
  2. Step 2: Convert to fraction form
    119,407/251,102 = 251,102/x
  3. Step 3: Cross multiply
    119,407x = 251,102 × 251,102
  4. Step 4: Simplify right side
    119,407x = 63,052,214,404
  5. Step 5: Solve for x
    x = 63,052,214,404/119,407
  6. Step 6: Final answer
    x = 528,044.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.