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Finding the Third Proportional to 124,116 and 191,790

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Solution

The third proportional to 124,116 and 191,790 is: 296,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,116 : 191,790 = 191,790 : x
  2. Step 2: Convert to fraction form
    124,116/191,790 = 191,790/x
  3. Step 3: Cross multiply
    124,116x = 191,790 × 191,790
  4. Step 4: Simplify right side
    124,116x = 36,783,404,100
  5. Step 5: Solve for x
    x = 36,783,404,100/124,116
  6. Step 6: Final answer
    x = 296,363.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.