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Finding the Third Proportional to 73,174 and 107,160

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Solution

The third proportional to 73,174 and 107,160 is: 156,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174 : 107,160 = 107,160 : x
  2. Step 2: Convert to fraction form
    73,174/107,160 = 107,160/x
  3. Step 3: Cross multiply
    73,174x = 107,160 × 107,160
  4. Step 4: Simplify right side
    73,174x = 11,483,265,600
  5. Step 5: Solve for x
    x = 11,483,265,600/73,174
  6. Step 6: Final answer
    x = 156,930.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.