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Finding the Third Proportional to 103,652 and 160,060

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Solution

The third proportional to 103,652 and 160,060 is: 247,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652 : 160,060 = 160,060 : x
  2. Step 2: Convert to fraction form
    103,652/160,060 = 160,060/x
  3. Step 3: Cross multiply
    103,652x = 160,060 × 160,060
  4. Step 4: Simplify right side
    103,652x = 25,619,203,600
  5. Step 5: Solve for x
    x = 25,619,203,600/103,652
  6. Step 6: Final answer
    x = 247,165.55

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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.