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Finding the Third Proportional to 52,635 and 80,904.75

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Solution

The third proportional to 52,635 and 80,904.75 is: 124,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,635 : 80,904.75 = 80,904.75 : x
  2. Step 2: Convert to fraction form
    52,635/80,904.75 = 80,904.75/x
  3. Step 3: Cross multiply
    52,635x = 80,904.75 × 80,904.75
  4. Step 4: Simplify right side
    52,635x = 6,545,578,572.56
  5. Step 5: Solve for x
    x = 6,545,578,572.56/52,635
  6. Step 6: Final answer
    x = 124,357.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.