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Finding the Third Proportional to 103,740.75 and 160,216.31

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Solution

The third proportional to 103,740.75 and 160,216.31 is: 247,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740.75 : 160,216.31 = 160,216.31 : x
  2. Step 2: Convert to fraction form
    103,740.75/160,216.31 = 160,216.31/x
  3. Step 3: Cross multiply
    103,740.75x = 160,216.31 × 160,216.31
  4. Step 4: Simplify right side
    103,740.75x = 25,669,266,791.10
  5. Step 5: Solve for x
    x = 25,669,266,791.10/103,740.75
  6. Step 6: Final answer
    x = 247,436.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.