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Finding the Third Proportional to 84,206.25 and 127,181.81

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Solution

The third proportional to 84,206.25 and 127,181.81 is: 192,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.25 : 127,181.81 = 127,181.81 : x
  2. Step 2: Convert to fraction form
    84,206.25/127,181.81 = 127,181.81/x
  3. Step 3: Cross multiply
    84,206.25x = 127,181.81 × 127,181.81
  4. Step 4: Simplify right side
    84,206.25x = 16,175,213,430.79
  5. Step 5: Solve for x
    x = 16,175,213,430.79/84,206.25
  6. Step 6: Final answer
    x = 192,090.41

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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.