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Finding the Third Proportional to 73,882.50 and 117,009

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Solution

The third proportional to 73,882.50 and 117,009 is: 185,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.50 : 117,009 = 117,009 : x
  2. Step 2: Convert to fraction form
    73,882.50/117,009 = 117,009/x
  3. Step 3: Cross multiply
    73,882.50x = 117,009 × 117,009
  4. Step 4: Simplify right side
    73,882.50x = 13,691,106,081
  5. Step 5: Solve for x
    x = 13,691,106,081/73,882.50
  6. Step 6: Final answer
    x = 185,309.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.