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Finding the Third Proportional to 37,148 and 80,464

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Solution

The third proportional to 37,148 and 80,464 is: 174,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148 : 80,464 = 80,464 : x
  2. Step 2: Convert to fraction form
    37,148/80,464 = 80,464/x
  3. Step 3: Cross multiply
    37,148x = 80,464 × 80,464
  4. Step 4: Simplify right side
    37,148x = 6,474,455,296
  5. Step 5: Solve for x
    x = 6,474,455,296/37,148
  6. Step 6: Final answer
    x = 174,288.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.