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Finding the Third Proportional to 37,709 and 79,297

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Solution

The third proportional to 37,709 and 79,297 is: 166,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,709 : 79,297 = 79,297 : x
  2. Step 2: Convert to fraction form
    37,709/79,297 = 79,297/x
  3. Step 3: Cross multiply
    37,709x = 79,297 × 79,297
  4. Step 4: Simplify right side
    37,709x = 6,288,014,209
  5. Step 5: Solve for x
    x = 6,288,014,209/37,709
  6. Step 6: Final answer
    x = 166,751.02

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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.