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Finding the Third Proportional to 103,664 and 160,077

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Solution

The third proportional to 103,664 and 160,077 is: 247,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 160,077 = 160,077 : x
  2. Step 2: Convert to fraction form
    103,664/160,077 = 160,077/x
  3. Step 3: Cross multiply
    103,664x = 160,077 × 160,077
  4. Step 4: Simplify right side
    103,664x = 25,624,645,929
  5. Step 5: Solve for x
    x = 25,624,645,929/103,664
  6. Step 6: Final answer
    x = 247,189.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.