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Finding the Third Proportional to 89,176 and 118,380

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Solution

The third proportional to 89,176 and 118,380 is: 157,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,176 : 118,380 = 118,380 : x
  2. Step 2: Convert to fraction form
    89,176/118,380 = 118,380/x
  3. Step 3: Cross multiply
    89,176x = 118,380 × 118,380
  4. Step 4: Simplify right side
    89,176x = 14,013,824,400
  5. Step 5: Solve for x
    x = 14,013,824,400/89,176
  6. Step 6: Final answer
    x = 157,147.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.