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Finding the Third Proportional to 86,954 and 116,472

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Solution

The third proportional to 86,954 and 116,472 is: 156,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,954 : 116,472 = 116,472 : x
  2. Step 2: Convert to fraction form
    86,954/116,472 = 116,472/x
  3. Step 3: Cross multiply
    86,954x = 116,472 × 116,472
  4. Step 4: Simplify right side
    86,954x = 13,565,726,784
  5. Step 5: Solve for x
    x = 13,565,726,784/86,954
  6. Step 6: Final answer
    x = 156,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.