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Finding the Third Proportional to 75,072 and 116,913

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Solution

The third proportional to 75,072 and 116,913 is: 182,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072 : 116,913 = 116,913 : x
  2. Step 2: Convert to fraction form
    75,072/116,913 = 116,913/x
  3. Step 3: Cross multiply
    75,072x = 116,913 × 116,913
  4. Step 4: Simplify right side
    75,072x = 13,668,649,569
  5. Step 5: Solve for x
    x = 13,668,649,569/75,072
  6. Step 6: Final answer
    x = 182,073.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.