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Finding the Third Proportional to 77,275.75 and 164,758.63

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Solution

The third proportional to 77,275.75 and 164,758.63 is: 351,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.75 : 164,758.63 = 164,758.63 : x
  2. Step 2: Convert to fraction form
    77,275.75/164,758.63 = 164,758.63/x
  3. Step 3: Cross multiply
    77,275.75x = 164,758.63 × 164,758.63
  4. Step 4: Simplify right side
    77,275.75x = 27,145,404,511.89
  5. Step 5: Solve for x
    x = 27,145,404,511.89/77,275.75
  6. Step 6: Final answer
    x = 351,279.73

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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.