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Finding the Third Proportional to 73,921 and 115,804

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Solution

The third proportional to 73,921 and 115,804 is: 181,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,921 : 115,804 = 115,804 : x
  2. Step 2: Convert to fraction form
    73,921/115,804 = 115,804/x
  3. Step 3: Cross multiply
    73,921x = 115,804 × 115,804
  4. Step 4: Simplify right side
    73,921x = 13,410,566,416
  5. Step 5: Solve for x
    x = 13,410,566,416/73,921
  6. Step 6: Final answer
    x = 181,417.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.