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Finding the Third Proportional to 77,274.88 and 164,756.75

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Solution

The third proportional to 77,274.88 and 164,756.75 is: 351,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274.88 : 164,756.75 = 164,756.75 : x
  2. Step 2: Convert to fraction form
    77,274.88/164,756.75 = 164,756.75/x
  3. Step 3: Cross multiply
    77,274.88x = 164,756.75 × 164,756.75
  4. Step 4: Simplify right side
    77,274.88x = 27,144,786,670.56
  5. Step 5: Solve for x
    x = 27,144,786,670.56/77,274.88
  6. Step 6: Final answer
    x = 351,275.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.