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Finding the Third Proportional to 64,105 and 99,518

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Solution

The third proportional to 64,105 and 99,518 is: 154,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105 : 99,518 = 99,518 : x
  2. Step 2: Convert to fraction form
    64,105/99,518 = 99,518/x
  3. Step 3: Cross multiply
    64,105x = 99,518 × 99,518
  4. Step 4: Simplify right side
    64,105x = 9,903,832,324
  5. Step 5: Solve for x
    x = 9,903,832,324/64,105
  6. Step 6: Final answer
    x = 154,493.91

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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.