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Finding the Third Proportional to 56,110 and 119,998

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Solution

The third proportional to 56,110 and 119,998 is: 256,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,110 : 119,998 = 119,998 : x
  2. Step 2: Convert to fraction form
    56,110/119,998 = 119,998/x
  3. Step 3: Cross multiply
    56,110x = 119,998 × 119,998
  4. Step 4: Simplify right side
    56,110x = 14,399,520,004
  5. Step 5: Solve for x
    x = 14,399,520,004/56,110
  6. Step 6: Final answer
    x = 256,630.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.