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Finding the Third Proportional to 77,965.88 and 169,043.63

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Solution

The third proportional to 77,965.88 and 169,043.63 is: 366,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.88 : 169,043.63 = 169,043.63 : x
  2. Step 2: Convert to fraction form
    77,965.88/169,043.63 = 169,043.63/x
  3. Step 3: Cross multiply
    77,965.88x = 169,043.63 × 169,043.63
  4. Step 4: Simplify right side
    77,965.88x = 28,575,747,153.14
  5. Step 5: Solve for x
    x = 28,575,747,153.14/77,965.88
  6. Step 6: Final answer
    x = 366,516.08

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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.