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Finding the Third Proportional to 37,101 and 75,497

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Solution

The third proportional to 37,101 and 75,497 is: 153,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101 : 75,497 = 75,497 : x
  2. Step 2: Convert to fraction form
    37,101/75,497 = 75,497/x
  3. Step 3: Cross multiply
    37,101x = 75,497 × 75,497
  4. Step 4: Simplify right side
    37,101x = 5,699,797,009
  5. Step 5: Solve for x
    x = 5,699,797,009/37,101
  6. Step 6: Final answer
    x = 153,629.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.