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Finding the Third Proportional to 45,641 and 98,023

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Solution

The third proportional to 45,641 and 98,023 is: 210,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,641 : 98,023 = 98,023 : x
  2. Step 2: Convert to fraction form
    45,641/98,023 = 98,023/x
  3. Step 3: Cross multiply
    45,641x = 98,023 × 98,023
  4. Step 4: Simplify right side
    45,641x = 9,608,508,529
  5. Step 5: Solve for x
    x = 9,608,508,529/45,641
  6. Step 6: Final answer
    x = 210,523.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.