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Finding the Third Proportional to 103,693 and 160,400

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Solution

The third proportional to 103,693 and 160,400 is: 248,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 160,400 = 160,400 : x
  2. Step 2: Convert to fraction form
    103,693/160,400 = 160,400/x
  3. Step 3: Cross multiply
    103,693x = 160,400 × 160,400
  4. Step 4: Simplify right side
    103,693x = 25,728,160,000
  5. Step 5: Solve for x
    x = 25,728,160,000/103,693
  6. Step 6: Final answer
    x = 248,118.58

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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.