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Finding the Third Proportional to 77,963.63 and 164,077.31

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Solution

The third proportional to 77,963.63 and 164,077.31 is: 345,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.63 : 164,077.31 = 164,077.31 : x
  2. Step 2: Convert to fraction form
    77,963.63/164,077.31 = 164,077.31/x
  3. Step 3: Cross multiply
    77,963.63x = 164,077.31 × 164,077.31
  4. Step 4: Simplify right side
    77,963.63x = 26,921,364,477.22
  5. Step 5: Solve for x
    x = 26,921,364,477.22/77,963.63
  6. Step 6: Final answer
    x = 345,306.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.