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Finding the Third Proportional to 59,352.75 and 126,427.50

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Solution

The third proportional to 59,352.75 and 126,427.50 is: 269,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,352.75 : 126,427.50 = 126,427.50 : x
  2. Step 2: Convert to fraction form
    59,352.75/126,427.50 = 126,427.50/x
  3. Step 3: Cross multiply
    59,352.75x = 126,427.50 × 126,427.50
  4. Step 4: Simplify right side
    59,352.75x = 15,983,912,756.25
  5. Step 5: Solve for x
    x = 15,983,912,756.25/59,352.75
  6. Step 6: Final answer
    x = 269,303.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.