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Finding the Third Proportional to 77,972 and 169,064

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Solution

The third proportional to 77,972 and 169,064 is: 366,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972 : 169,064 = 169,064 : x
  2. Step 2: Convert to fraction form
    77,972/169,064 = 169,064/x
  3. Step 3: Cross multiply
    77,972x = 169,064 × 169,064
  4. Step 4: Simplify right side
    77,972x = 28,582,636,096
  5. Step 5: Solve for x
    x = 28,582,636,096/77,972
  6. Step 6: Final answer
    x = 366,575.64

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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.