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Finding the Third Proportional to 37,658 and 79,201

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Solution

The third proportional to 37,658 and 79,201 is: 166,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658 : 79,201 = 79,201 : x
  2. Step 2: Convert to fraction form
    37,658/79,201 = 79,201/x
  3. Step 3: Cross multiply
    37,658x = 79,201 × 79,201
  4. Step 4: Simplify right side
    37,658x = 6,272,798,401
  5. Step 5: Solve for x
    x = 6,272,798,401/37,658
  6. Step 6: Final answer
    x = 166,572.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.