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Finding the Third Proportional to 88,205 and 136,944

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Solution

The third proportional to 88,205 and 136,944 is: 212,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,205 : 136,944 = 136,944 : x
  2. Step 2: Convert to fraction form
    88,205/136,944 = 136,944/x
  3. Step 3: Cross multiply
    88,205x = 136,944 × 136,944
  4. Step 4: Simplify right side
    88,205x = 18,753,659,136
  5. Step 5: Solve for x
    x = 18,753,659,136/88,205
  6. Step 6: Final answer
    x = 212,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.