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Finding the Third Proportional to 103,615 and 160,607

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Solution

The third proportional to 103,615 and 160,607 is: 248,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615 : 160,607 = 160,607 : x
  2. Step 2: Convert to fraction form
    103,615/160,607 = 160,607/x
  3. Step 3: Cross multiply
    103,615x = 160,607 × 160,607
  4. Step 4: Simplify right side
    103,615x = 25,794,608,449
  5. Step 5: Solve for x
    x = 25,794,608,449/103,615
  6. Step 6: Final answer
    x = 248,946.66

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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.