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Finding the Third Proportional to 59,211 and 94,118.63

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Solution

The third proportional to 59,211 and 94,118.63 is: 149,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211 : 94,118.63 = 94,118.63 : x
  2. Step 2: Convert to fraction form
    59,211/94,118.63 = 94,118.63/x
  3. Step 3: Cross multiply
    59,211x = 94,118.63 × 94,118.63
  4. Step 4: Simplify right side
    59,211x = 8,858,315,571.89
  5. Step 5: Solve for x
    x = 8,858,315,571.89/59,211
  6. Step 6: Final answer
    x = 149,605.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.