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Finding the Third Proportional to 55,516 and 119,894

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Solution

The third proportional to 55,516 and 119,894 is: 258,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,516 : 119,894 = 119,894 : x
  2. Step 2: Convert to fraction form
    55,516/119,894 = 119,894/x
  3. Step 3: Cross multiply
    55,516x = 119,894 × 119,894
  4. Step 4: Simplify right side
    55,516x = 14,374,571,236
  5. Step 5: Solve for x
    x = 14,374,571,236/55,516
  6. Step 6: Final answer
    x = 258,926.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.