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Finding the Third Proportional to 37,414 and 83,133

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Solution

The third proportional to 37,414 and 83,133 is: 184,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414 : 83,133 = 83,133 : x
  2. Step 2: Convert to fraction form
    37,414/83,133 = 83,133/x
  3. Step 3: Cross multiply
    37,414x = 83,133 × 83,133
  4. Step 4: Simplify right side
    37,414x = 6,911,095,689
  5. Step 5: Solve for x
    x = 6,911,095,689/37,414
  6. Step 6: Final answer
    x = 184,719.51

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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.