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Finding the Third Proportional to 69,355.25 and 104,762

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Solution

The third proportional to 69,355.25 and 104,762 is: 158,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,355.25 : 104,762 = 104,762 : x
  2. Step 2: Convert to fraction form
    69,355.25/104,762 = 104,762/x
  3. Step 3: Cross multiply
    69,355.25x = 104,762 × 104,762
  4. Step 4: Simplify right side
    69,355.25x = 10,975,076,644
  5. Step 5: Solve for x
    x = 10,975,076,644/69,355.25
  6. Step 6: Final answer
    x = 158,244.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.