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Finding the Third Proportional to 89,269 and 118,472

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Solution

The third proportional to 89,269 and 118,472 is: 157,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,269 : 118,472 = 118,472 : x
  2. Step 2: Convert to fraction form
    89,269/118,472 = 118,472/x
  3. Step 3: Cross multiply
    89,269x = 118,472 × 118,472
  4. Step 4: Simplify right side
    89,269x = 14,035,614,784
  5. Step 5: Solve for x
    x = 14,035,614,784/89,269
  6. Step 6: Final answer
    x = 157,228.32

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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.