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Finding the Third Proportional to 103,452 and 160,827

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Solution

The third proportional to 103,452 and 160,827 is: 250,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452 : 160,827 = 160,827 : x
  2. Step 2: Convert to fraction form
    103,452/160,827 = 160,827/x
  3. Step 3: Cross multiply
    103,452x = 160,827 × 160,827
  4. Step 4: Simplify right side
    103,452x = 25,865,323,929
  5. Step 5: Solve for x
    x = 25,865,323,929/103,452
  6. Step 6: Final answer
    x = 250,022.46

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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.