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Finding the Third Proportional to 37,091 and 80,148

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Solution

The third proportional to 37,091 and 80,148 is: 173,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 80,148 = 80,148 : x
  2. Step 2: Convert to fraction form
    37,091/80,148 = 80,148/x
  3. Step 3: Cross multiply
    37,091x = 80,148 × 80,148
  4. Step 4: Simplify right side
    37,091x = 6,423,701,904
  5. Step 5: Solve for x
    x = 6,423,701,904/37,091
  6. Step 6: Final answer
    x = 173,187.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.