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Finding the Third Proportional to 89,176 and 122,282

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Solution

The third proportional to 89,176 and 122,282 is: 167,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,176 : 122,282 = 122,282 : x
  2. Step 2: Convert to fraction form
    89,176/122,282 = 122,282/x
  3. Step 3: Cross multiply
    89,176x = 122,282 × 122,282
  4. Step 4: Simplify right side
    89,176x = 14,952,887,524
  5. Step 5: Solve for x
    x = 14,952,887,524/89,176
  6. Step 6: Final answer
    x = 167,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.