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Finding the Third Proportional to 64,806.75 and 92,458.13

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Solution

The third proportional to 64,806.75 and 92,458.13 is: 131,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,806.75 : 92,458.13 = 92,458.13 : x
  2. Step 2: Convert to fraction form
    64,806.75/92,458.13 = 92,458.13/x
  3. Step 3: Cross multiply
    64,806.75x = 92,458.13 × 92,458.13
  4. Step 4: Simplify right side
    64,806.75x = 8,548,504,878.52
  5. Step 5: Solve for x
    x = 8,548,504,878.52/64,806.75
  6. Step 6: Final answer
    x = 131,907.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.