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Finding the Third Proportional to 73,884.56 and 117,012.19

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Solution

The third proportional to 73,884.56 and 117,012.19 is: 185,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,884.56 : 117,012.19 = 117,012.19 : x
  2. Step 2: Convert to fraction form
    73,884.56/117,012.19 = 117,012.19/x
  3. Step 3: Cross multiply
    73,884.56x = 117,012.19 × 117,012.19
  4. Step 4: Simplify right side
    73,884.56x = 13,691,852,023.54
  5. Step 5: Solve for x
    x = 13,691,852,023.54/73,884.56
  6. Step 6: Final answer
    x = 185,314.11

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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.