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Finding the Third Proportional to 89,718 and 139,315

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Solution

The third proportional to 89,718 and 139,315 is: 216,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,718 : 139,315 = 139,315 : x
  2. Step 2: Convert to fraction form
    89,718/139,315 = 139,315/x
  3. Step 3: Cross multiply
    89,718x = 139,315 × 139,315
  4. Step 4: Simplify right side
    89,718x = 19,408,669,225
  5. Step 5: Solve for x
    x = 19,408,669,225/89,718
  6. Step 6: Final answer
    x = 216,329.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.