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Finding the Third Proportional to 64,990 and 97,965

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Solution

The third proportional to 64,990 and 97,965 is: 147,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,990 : 97,965 = 97,965 : x
  2. Step 2: Convert to fraction form
    64,990/97,965 = 97,965/x
  3. Step 3: Cross multiply
    64,990x = 97,965 × 97,965
  4. Step 4: Simplify right side
    64,990x = 9,597,141,225
  5. Step 5: Solve for x
    x = 9,597,141,225/64,990
  6. Step 6: Final answer
    x = 147,671.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.