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Finding the Third Proportional to 89,727 and 139,331.25

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Solution

The third proportional to 89,727 and 139,331.25 is: 216,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,727 : 139,331.25 = 139,331.25 : x
  2. Step 2: Convert to fraction form
    89,727/139,331.25 = 139,331.25/x
  3. Step 3: Cross multiply
    89,727x = 139,331.25 × 139,331.25
  4. Step 4: Simplify right side
    89,727x = 19,413,197,226.56
  5. Step 5: Solve for x
    x = 19,413,197,226.56/89,727
  6. Step 6: Final answer
    x = 216,358.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.