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Finding the Third Proportional to 78,946 and 169,604

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Solution

The third proportional to 78,946 and 169,604 is: 364,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,946 : 169,604 = 169,604 : x
  2. Step 2: Convert to fraction form
    78,946/169,604 = 169,604/x
  3. Step 3: Cross multiply
    78,946x = 169,604 × 169,604
  4. Step 4: Simplify right side
    78,946x = 28,765,516,816
  5. Step 5: Solve for x
    x = 28,765,516,816/78,946
  6. Step 6: Final answer
    x = 364,369.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.