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Finding the Third Proportional to 37,416 and 83,138

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Solution

The third proportional to 37,416 and 83,138 is: 184,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,416 : 83,138 = 83,138 : x
  2. Step 2: Convert to fraction form
    37,416/83,138 = 83,138/x
  3. Step 3: Cross multiply
    37,416x = 83,138 × 83,138
  4. Step 4: Simplify right side
    37,416x = 6,911,927,044
  5. Step 5: Solve for x
    x = 6,911,927,044/37,416
  6. Step 6: Final answer
    x = 184,731.85

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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.