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Finding the Third Proportional to 61,526 and 80,790

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Solution

The third proportional to 61,526 and 80,790 is: 106,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,526 : 80,790 = 80,790 : x
  2. Step 2: Convert to fraction form
    61,526/80,790 = 80,790/x
  3. Step 3: Cross multiply
    61,526x = 80,790 × 80,790
  4. Step 4: Simplify right side
    61,526x = 6,527,024,100
  5. Step 5: Solve for x
    x = 6,527,024,100/61,526
  6. Step 6: Final answer
    x = 106,085.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.