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Finding the Third Proportional to 89,248 and 136,896

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Solution

The third proportional to 89,248 and 136,896 is: 209,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,248 : 136,896 = 136,896 : x
  2. Step 2: Convert to fraction form
    89,248/136,896 = 136,896/x
  3. Step 3: Cross multiply
    89,248x = 136,896 × 136,896
  4. Step 4: Simplify right side
    89,248x = 18,740,514,816
  5. Step 5: Solve for x
    x = 18,740,514,816/89,248
  6. Step 6: Final answer
    x = 209,982.46

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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.