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Finding the Third Proportional to 81,519 and 124,710

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Solution

The third proportional to 81,519 and 124,710 is: 190,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,519 : 124,710 = 124,710 : x
  2. Step 2: Convert to fraction form
    81,519/124,710 = 124,710/x
  3. Step 3: Cross multiply
    81,519x = 124,710 × 124,710
  4. Step 4: Simplify right side
    81,519x = 15,552,584,100
  5. Step 5: Solve for x
    x = 15,552,584,100/81,519
  6. Step 6: Final answer
    x = 190,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.