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Finding the Third Proportional to 119,808 and 187,928

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Solution

The third proportional to 119,808 and 187,928 is: 294,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,808 : 187,928 = 187,928 : x
  2. Step 2: Convert to fraction form
    119,808/187,928 = 187,928/x
  3. Step 3: Cross multiply
    119,808x = 187,928 × 187,928
  4. Step 4: Simplify right side
    119,808x = 35,316,933,184
  5. Step 5: Solve for x
    x = 35,316,933,184/119,808
  6. Step 6: Final answer
    x = 294,779.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.