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Finding the Third Proportional to 89,878 and 140,980

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Solution

The third proportional to 89,878 and 140,980 is: 221,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,878 : 140,980 = 140,980 : x
  2. Step 2: Convert to fraction form
    89,878/140,980 = 140,980/x
  3. Step 3: Cross multiply
    89,878x = 140,980 × 140,980
  4. Step 4: Simplify right side
    89,878x = 19,875,360,400
  5. Step 5: Solve for x
    x = 19,875,360,400/89,878
  6. Step 6: Final answer
    x = 221,137.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.