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Finding the Third Proportional to 84,753 and 188,091

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Solution

The third proportional to 84,753 and 188,091 is: 417,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753 : 188,091 = 188,091 : x
  2. Step 2: Convert to fraction form
    84,753/188,091 = 188,091/x
  3. Step 3: Cross multiply
    84,753x = 188,091 × 188,091
  4. Step 4: Simplify right side
    84,753x = 35,378,224,281
  5. Step 5: Solve for x
    x = 35,378,224,281/84,753
  6. Step 6: Final answer
    x = 417,427.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.