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Finding the Third Proportional to 45,390 and 98,529

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Solution

The third proportional to 45,390 and 98,529 is: 213,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,390 : 98,529 = 98,529 : x
  2. Step 2: Convert to fraction form
    45,390/98,529 = 98,529/x
  3. Step 3: Cross multiply
    45,390x = 98,529 × 98,529
  4. Step 4: Simplify right side
    45,390x = 9,707,963,841
  5. Step 5: Solve for x
    x = 9,707,963,841/45,390
  6. Step 6: Final answer
    x = 213,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.