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Finding the Third Proportional to 93,567 and 131,778

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Solution

The third proportional to 93,567 and 131,778 is: 185,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,567 : 131,778 = 131,778 : x
  2. Step 2: Convert to fraction form
    93,567/131,778 = 131,778/x
  3. Step 3: Cross multiply
    93,567x = 131,778 × 131,778
  4. Step 4: Simplify right side
    93,567x = 17,365,441,284
  5. Step 5: Solve for x
    x = 17,365,441,284/93,567
  6. Step 6: Final answer
    x = 185,593.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.