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Finding the Third Proportional to 89,078 and 130,701

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Solution

The third proportional to 89,078 and 130,701 is: 191,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,078 : 130,701 = 130,701 : x
  2. Step 2: Convert to fraction form
    89,078/130,701 = 130,701/x
  3. Step 3: Cross multiply
    89,078x = 130,701 × 130,701
  4. Step 4: Simplify right side
    89,078x = 17,082,751,401
  5. Step 5: Solve for x
    x = 17,082,751,401/89,078
  6. Step 6: Final answer
    x = 191,772.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.