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Finding the Third Proportional to 89,176 and 138,526

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Solution

The third proportional to 89,176 and 138,526 is: 215,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,176 : 138,526 = 138,526 : x
  2. Step 2: Convert to fraction form
    89,176/138,526 = 138,526/x
  3. Step 3: Cross multiply
    89,176x = 138,526 × 138,526
  4. Step 4: Simplify right side
    89,176x = 19,189,452,676
  5. Step 5: Solve for x
    x = 19,189,452,676/89,176
  6. Step 6: Final answer
    x = 215,186.29

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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.