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Finding the Third Proportional to 134,103 and 187,929

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Solution

The third proportional to 134,103 and 187,929 is: 263,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,103 : 187,929 = 187,929 : x
  2. Step 2: Convert to fraction form
    134,103/187,929 = 187,929/x
  3. Step 3: Cross multiply
    134,103x = 187,929 × 187,929
  4. Step 4: Simplify right side
    134,103x = 35,317,309,041
  5. Step 5: Solve for x
    x = 35,317,309,041/134,103
  6. Step 6: Final answer
    x = 263,359.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.