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Finding the Third Proportional to 121,863 and 188,325.75

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Solution

The third proportional to 121,863 and 188,325.75 is: 291,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,863 : 188,325.75 = 188,325.75 : x
  2. Step 2: Convert to fraction form
    121,863/188,325.75 = 188,325.75/x
  3. Step 3: Cross multiply
    121,863x = 188,325.75 × 188,325.75
  4. Step 4: Simplify right side
    121,863x = 35,466,588,113.06
  5. Step 5: Solve for x
    x = 35,466,588,113.06/121,863
  6. Step 6: Final answer
    x = 291,036.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.