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Finding the Third Proportional to 37,412 and 83,129

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Solution

The third proportional to 37,412 and 83,129 is: 184,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412 : 83,129 = 83,129 : x
  2. Step 2: Convert to fraction form
    37,412/83,129 = 83,129/x
  3. Step 3: Cross multiply
    37,412x = 83,129 × 83,129
  4. Step 4: Simplify right side
    37,412x = 6,910,430,641
  5. Step 5: Solve for x
    x = 6,910,430,641/37,412
  6. Step 6: Final answer
    x = 184,711.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.