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Finding the Third Proportional to 77,906 and 169,420

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Solution

The third proportional to 77,906 and 169,420 is: 368,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906 : 169,420 = 169,420 : x
  2. Step 2: Convert to fraction form
    77,906/169,420 = 169,420/x
  3. Step 3: Cross multiply
    77,906x = 169,420 × 169,420
  4. Step 4: Simplify right side
    77,906x = 28,703,136,400
  5. Step 5: Solve for x
    x = 28,703,136,400/77,906
  6. Step 6: Final answer
    x = 368,432.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.