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Finding the Third Proportional to 37,842 and 81,117

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Solution

The third proportional to 37,842 and 81,117 is: 173,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 81,117 = 81,117 : x
  2. Step 2: Convert to fraction form
    37,842/81,117 = 81,117/x
  3. Step 3: Cross multiply
    37,842x = 81,117 × 81,117
  4. Step 4: Simplify right side
    37,842x = 6,579,967,689
  5. Step 5: Solve for x
    x = 6,579,967,689/37,842
  6. Step 6: Final answer
    x = 173,880.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.