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Finding the Third Proportional to 93,412.13 and 144,261.56

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Solution

The third proportional to 93,412.13 and 144,261.56 is: 222,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,412.13 : 144,261.56 = 144,261.56 : x
  2. Step 2: Convert to fraction form
    93,412.13/144,261.56 = 144,261.56/x
  3. Step 3: Cross multiply
    93,412.13x = 144,261.56 × 144,261.56
  4. Step 4: Simplify right side
    93,412.13x = 20,811,398,414.94
  5. Step 5: Solve for x
    x = 20,811,398,414.94/93,412.13
  6. Step 6: Final answer
    x = 222,791.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.