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Finding the Third Proportional to 59,231.25 and 125,114.63

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Solution

The third proportional to 59,231.25 and 125,114.63 is: 264,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,231.25 : 125,114.63 = 125,114.63 : x
  2. Step 2: Convert to fraction form
    59,231.25/125,114.63 = 125,114.63/x
  3. Step 3: Cross multiply
    59,231.25x = 125,114.63 × 125,114.63
  4. Step 4: Simplify right side
    59,231.25x = 15,653,669,388.89
  5. Step 5: Solve for x
    x = 15,653,669,388.89/59,231.25
  6. Step 6: Final answer
    x = 264,280.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.