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Finding the Third Proportional to 56,834 and 89,156

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Solution

The third proportional to 56,834 and 89,156 is: 139,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,834 : 89,156 = 89,156 : x
  2. Step 2: Convert to fraction form
    56,834/89,156 = 89,156/x
  3. Step 3: Cross multiply
    56,834x = 89,156 × 89,156
  4. Step 4: Simplify right side
    56,834x = 7,948,792,336
  5. Step 5: Solve for x
    x = 7,948,792,336/56,834
  6. Step 6: Final answer
    x = 139,859.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.