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Finding the Third Proportional to 104,376 and 139,822

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Solution

The third proportional to 104,376 and 139,822 is: 187,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,376 : 139,822 = 139,822 : x
  2. Step 2: Convert to fraction form
    104,376/139,822 = 139,822/x
  3. Step 3: Cross multiply
    104,376x = 139,822 × 139,822
  4. Step 4: Simplify right side
    104,376x = 19,550,191,684
  5. Step 5: Solve for x
    x = 19,550,191,684/104,376
  6. Step 6: Final answer
    x = 187,305.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.