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Finding the Third Proportional to 89,524 and 136,878

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Solution

The third proportional to 89,524 and 136,878 is: 209,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524 : 136,878 = 136,878 : x
  2. Step 2: Convert to fraction form
    89,524/136,878 = 136,878/x
  3. Step 3: Cross multiply
    89,524x = 136,878 × 136,878
  4. Step 4: Simplify right side
    89,524x = 18,735,586,884
  5. Step 5: Solve for x
    x = 18,735,586,884/89,524
  6. Step 6: Final answer
    x = 209,280.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.