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Finding the Third Proportional to 121,083 and 188,982

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Solution

The third proportional to 121,083 and 188,982 is: 294,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083 : 188,982 = 188,982 : x
  2. Step 2: Convert to fraction form
    121,083/188,982 = 188,982/x
  3. Step 3: Cross multiply
    121,083x = 188,982 × 188,982
  4. Step 4: Simplify right side
    121,083x = 35,714,196,324
  5. Step 5: Solve for x
    x = 35,714,196,324/121,083
  6. Step 6: Final answer
    x = 294,956.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.