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Finding the Third Proportional to 45,487 and 98,372

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Solution

The third proportional to 45,487 and 98,372 is: 212,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,487 : 98,372 = 98,372 : x
  2. Step 2: Convert to fraction form
    45,487/98,372 = 98,372/x
  3. Step 3: Cross multiply
    45,487x = 98,372 × 98,372
  4. Step 4: Simplify right side
    45,487x = 9,677,050,384
  5. Step 5: Solve for x
    x = 9,677,050,384/45,487
  6. Step 6: Final answer
    x = 212,743.21

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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.