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Finding the Third Proportional to 89,234 and 118,963

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Solution

The third proportional to 89,234 and 118,963 is: 158,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234 : 118,963 = 118,963 : x
  2. Step 2: Convert to fraction form
    89,234/118,963 = 118,963/x
  3. Step 3: Cross multiply
    89,234x = 118,963 × 118,963
  4. Step 4: Simplify right side
    89,234x = 14,152,195,369
  5. Step 5: Solve for x
    x = 14,152,195,369/89,234
  6. Step 6: Final answer
    x = 158,596.45

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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.