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Finding the Third Proportional to 124,290 and 197,121.75

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Solution

The third proportional to 124,290 and 197,121.75 is: 312,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,290 : 197,121.75 = 197,121.75 : x
  2. Step 2: Convert to fraction form
    124,290/197,121.75 = 197,121.75/x
  3. Step 3: Cross multiply
    124,290x = 197,121.75 × 197,121.75
  4. Step 4: Simplify right side
    124,290x = 38,856,984,323.06
  5. Step 5: Solve for x
    x = 38,856,984,323.06/124,290
  6. Step 6: Final answer
    x = 312,631.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.