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Finding the Third Proportional to 119,617 and 192,729

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Solution

The third proportional to 119,617 and 192,729 is: 310,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,617 : 192,729 = 192,729 : x
  2. Step 2: Convert to fraction form
    119,617/192,729 = 192,729/x
  3. Step 3: Cross multiply
    119,617x = 192,729 × 192,729
  4. Step 4: Simplify right side
    119,617x = 37,144,467,441
  5. Step 5: Solve for x
    x = 37,144,467,441/119,617
  6. Step 6: Final answer
    x = 310,528.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.