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Finding the Third Proportional to 75,536 and 119,970

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Solution

The third proportional to 75,536 and 119,970 is: 190,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,536 : 119,970 = 119,970 : x
  2. Step 2: Convert to fraction form
    75,536/119,970 = 119,970/x
  3. Step 3: Cross multiply
    75,536x = 119,970 × 119,970
  4. Step 4: Simplify right side
    75,536x = 14,392,800,900
  5. Step 5: Solve for x
    x = 14,392,800,900/75,536
  6. Step 6: Final answer
    x = 190,542.27

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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.