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Finding the Third Proportional to 45,339 and 97,977

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Solution

The third proportional to 45,339 and 97,977 is: 211,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,339 : 97,977 = 97,977 : x
  2. Step 2: Convert to fraction form
    45,339/97,977 = 97,977/x
  3. Step 3: Cross multiply
    45,339x = 97,977 × 97,977
  4. Step 4: Simplify right side
    45,339x = 9,599,492,529
  5. Step 5: Solve for x
    x = 9,599,492,529/45,339
  6. Step 6: Final answer
    x = 211,727.05

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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.