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Finding the Third Proportional to 124,333 and 191,220

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Solution

The third proportional to 124,333 and 191,220 is: 294,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,333 : 191,220 = 191,220 : x
  2. Step 2: Convert to fraction form
    124,333/191,220 = 191,220/x
  3. Step 3: Cross multiply
    124,333x = 191,220 × 191,220
  4. Step 4: Simplify right side
    124,333x = 36,565,088,400
  5. Step 5: Solve for x
    x = 36,565,088,400/124,333
  6. Step 6: Final answer
    x = 294,089.97

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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.