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Finding the Third Proportional to 124,746 and 270,815.50

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Solution

The third proportional to 124,746 and 270,815.50 is: 587,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,746 : 270,815.50 = 270,815.50 : x
  2. Step 2: Convert to fraction form
    124,746/270,815.50 = 270,815.50/x
  3. Step 3: Cross multiply
    124,746x = 270,815.50 × 270,815.50
  4. Step 4: Simplify right side
    124,746x = 73,341,035,040.25
  5. Step 5: Solve for x
    x = 73,341,035,040.25/124,746
  6. Step 6: Final answer
    x = 587,922.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.