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Finding the Third Proportional to 103,706 and 160,420

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Solution

The third proportional to 103,706 and 160,420 is: 248,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,706 : 160,420 = 160,420 : x
  2. Step 2: Convert to fraction form
    103,706/160,420 = 160,420/x
  3. Step 3: Cross multiply
    103,706x = 160,420 × 160,420
  4. Step 4: Simplify right side
    103,706x = 25,734,576,400
  5. Step 5: Solve for x
    x = 25,734,576,400/103,706
  6. Step 6: Final answer
    x = 248,149.35

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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.