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Finding the Third Proportional to 45,277 and 97,837

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Solution

The third proportional to 45,277 and 97,837 is: 211,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,277 : 97,837 = 97,837 : x
  2. Step 2: Convert to fraction form
    45,277/97,837 = 97,837/x
  3. Step 3: Cross multiply
    45,277x = 97,837 × 97,837
  4. Step 4: Simplify right side
    45,277x = 9,572,078,569
  5. Step 5: Solve for x
    x = 9,572,078,569/45,277
  6. Step 6: Final answer
    x = 211,411.50

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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.