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Finding the Third Proportional to 73,656 and 111,036

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Solution

The third proportional to 73,656 and 111,036 is: 167,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656 : 111,036 = 111,036 : x
  2. Step 2: Convert to fraction form
    73,656/111,036 = 111,036/x
  3. Step 3: Cross multiply
    73,656x = 111,036 × 111,036
  4. Step 4: Simplify right side
    73,656x = 12,328,993,296
  5. Step 5: Solve for x
    x = 12,328,993,296/73,656
  6. Step 6: Final answer
    x = 167,386.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.