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Finding the Third Proportional to 99,664 and 149,784

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Solution

The third proportional to 99,664 and 149,784 is: 225,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,664 : 149,784 = 149,784 : x
  2. Step 2: Convert to fraction form
    99,664/149,784 = 149,784/x
  3. Step 3: Cross multiply
    99,664x = 149,784 × 149,784
  4. Step 4: Simplify right side
    99,664x = 22,435,246,656
  5. Step 5: Solve for x
    x = 22,435,246,656/99,664
  6. Step 6: Final answer
    x = 225,108.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.