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Finding the Third Proportional to 89,870 and 140,968

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Solution

The third proportional to 89,870 and 140,968 is: 221,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,870 : 140,968 = 140,968 : x
  2. Step 2: Convert to fraction form
    89,870/140,968 = 140,968/x
  3. Step 3: Cross multiply
    89,870x = 140,968 × 140,968
  4. Step 4: Simplify right side
    89,870x = 19,871,977,024
  5. Step 5: Solve for x
    x = 19,871,977,024/89,870
  6. Step 6: Final answer
    x = 221,119.14

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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.