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Finding the Third Proportional to 56,324 and 119,119

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Solution

The third proportional to 56,324 and 119,119 is: 251,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,324 : 119,119 = 119,119 : x
  2. Step 2: Convert to fraction form
    56,324/119,119 = 119,119/x
  3. Step 3: Cross multiply
    56,324x = 119,119 × 119,119
  4. Step 4: Simplify right side
    56,324x = 14,189,336,161
  5. Step 5: Solve for x
    x = 14,189,336,161/56,324
  6. Step 6: Final answer
    x = 251,923.45

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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.