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Finding the Third Proportional to 107,613 and 147,721.50

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Solution

The third proportional to 107,613 and 147,721.50 is: 202,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,613 : 147,721.50 = 147,721.50 : x
  2. Step 2: Convert to fraction form
    107,613/147,721.50 = 147,721.50/x
  3. Step 3: Cross multiply
    107,613x = 147,721.50 × 147,721.50
  4. Step 4: Simplify right side
    107,613x = 21,821,641,562.25
  5. Step 5: Solve for x
    x = 21,821,641,562.25/107,613
  6. Step 6: Final answer
    x = 202,778.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.