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Finding the Third Proportional to 84,534 and 131,641

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Solution

The third proportional to 84,534 and 131,641 is: 204,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534 : 131,641 = 131,641 : x
  2. Step 2: Convert to fraction form
    84,534/131,641 = 131,641/x
  3. Step 3: Cross multiply
    84,534x = 131,641 × 131,641
  4. Step 4: Simplify right side
    84,534x = 17,329,352,881
  5. Step 5: Solve for x
    x = 17,329,352,881/84,534
  6. Step 6: Final answer
    x = 204,998.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.