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Finding the Third Proportional to 59,852.25 and 122,438.25

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Solution

The third proportional to 59,852.25 and 122,438.25 is: 250,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852.25 : 122,438.25 = 122,438.25 : x
  2. Step 2: Convert to fraction form
    59,852.25/122,438.25 = 122,438.25/x
  3. Step 3: Cross multiply
    59,852.25x = 122,438.25 × 122,438.25
  4. Step 4: Simplify right side
    59,852.25x = 14,991,125,063.06
  5. Step 5: Solve for x
    x = 14,991,125,063.06/59,852.25
  6. Step 6: Final answer
    x = 250,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.