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Finding the Third Proportional to 103,946 and 167,403

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Solution

The third proportional to 103,946 and 167,403 is: 269,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,946 : 167,403 = 167,403 : x
  2. Step 2: Convert to fraction form
    103,946/167,403 = 167,403/x
  3. Step 3: Cross multiply
    103,946x = 167,403 × 167,403
  4. Step 4: Simplify right side
    103,946x = 28,023,764,409
  5. Step 5: Solve for x
    x = 28,023,764,409/103,946
  6. Step 6: Final answer
    x = 269,599.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.