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Finding the Third Proportional to 124,746 and 195,464.50

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Solution

The third proportional to 124,746 and 195,464.50 is: 306,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,746 : 195,464.50 = 195,464.50 : x
  2. Step 2: Convert to fraction form
    124,746/195,464.50 = 195,464.50/x
  3. Step 3: Cross multiply
    124,746x = 195,464.50 × 195,464.50
  4. Step 4: Simplify right side
    124,746x = 38,206,370,760.25
  5. Step 5: Solve for x
    x = 38,206,370,760.25/124,746
  6. Step 6: Final answer
    x = 306,273.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.