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Finding the Third Proportional to 75,516 and 119,940

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Solution

The third proportional to 75,516 and 119,940 is: 190,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,516 : 119,940 = 119,940 : x
  2. Step 2: Convert to fraction form
    75,516/119,940 = 119,940/x
  3. Step 3: Cross multiply
    75,516x = 119,940 × 119,940
  4. Step 4: Simplify right side
    75,516x = 14,385,603,600
  5. Step 5: Solve for x
    x = 14,385,603,600/75,516
  6. Step 6: Final answer
    x = 190,497.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.