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Finding the Third Proportional to 77,044 and 169,190

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Solution

The third proportional to 77,044 and 169,190 is: 371,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,044 : 169,190 = 169,190 : x
  2. Step 2: Convert to fraction form
    77,044/169,190 = 169,190/x
  3. Step 3: Cross multiply
    77,044x = 169,190 × 169,190
  4. Step 4: Simplify right side
    77,044x = 28,625,256,100
  5. Step 5: Solve for x
    x = 28,625,256,100/77,044
  6. Step 6: Final answer
    x = 371,544.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.