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Finding the Third Proportional to 89,994 and 137,715

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Solution

The third proportional to 89,994 and 137,715 is: 210,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,994 : 137,715 = 137,715 : x
  2. Step 2: Convert to fraction form
    89,994/137,715 = 137,715/x
  3. Step 3: Cross multiply
    89,994x = 137,715 × 137,715
  4. Step 4: Simplify right side
    89,994x = 18,965,421,225
  5. Step 5: Solve for x
    x = 18,965,421,225/89,994
  6. Step 6: Final answer
    x = 210,740.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.