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Finding the Third Proportional to 74,656.69 and 113,172.19

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Solution

The third proportional to 74,656.69 and 113,172.19 is: 171,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656.69 : 113,172.19 = 113,172.19 : x
  2. Step 2: Convert to fraction form
    74,656.69/113,172.19 = 113,172.19/x
  3. Step 3: Cross multiply
    74,656.69x = 113,172.19 × 113,172.19
  4. Step 4: Simplify right side
    74,656.69x = 12,807,944,023.54
  5. Step 5: Solve for x
    x = 12,807,944,023.54/74,656.69
  6. Step 6: Final answer
    x = 171,557.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.