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Finding the Third Proportional to 56,316 and 119,103

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Solution

The third proportional to 56,316 and 119,103 is: 251,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 119,103 = 119,103 : x
  2. Step 2: Convert to fraction form
    56,316/119,103 = 119,103/x
  3. Step 3: Cross multiply
    56,316x = 119,103 × 119,103
  4. Step 4: Simplify right side
    56,316x = 14,185,524,609
  5. Step 5: Solve for x
    x = 14,185,524,609/56,316
  6. Step 6: Final answer
    x = 251,891.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.