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Finding the Third Proportional to 77,568 and 119,392

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Solution

The third proportional to 77,568 and 119,392 is: 183,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568 : 119,392 = 119,392 : x
  2. Step 2: Convert to fraction form
    77,568/119,392 = 119,392/x
  3. Step 3: Cross multiply
    77,568x = 119,392 × 119,392
  4. Step 4: Simplify right side
    77,568x = 14,254,449,664
  5. Step 5: Solve for x
    x = 14,254,449,664/77,568
  6. Step 6: Final answer
    x = 183,767.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.