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Finding the Third Proportional to 124,092 and 189,810

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Solution

The third proportional to 124,092 and 189,810 is: 290,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,092 : 189,810 = 189,810 : x
  2. Step 2: Convert to fraction form
    124,092/189,810 = 189,810/x
  3. Step 3: Cross multiply
    124,092x = 189,810 × 189,810
  4. Step 4: Simplify right side
    124,092x = 36,027,836,100
  5. Step 5: Solve for x
    x = 36,027,836,100/124,092
  6. Step 6: Final answer
    x = 290,331.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.