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Finding the Third Proportional to 69,263 and 105,352.50

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Solution

The third proportional to 69,263 and 105,352.50 is: 160,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,263 : 105,352.50 = 105,352.50 : x
  2. Step 2: Convert to fraction form
    69,263/105,352.50 = 105,352.50/x
  3. Step 3: Cross multiply
    69,263x = 105,352.50 × 105,352.50
  4. Step 4: Simplify right side
    69,263x = 11,099,149,256.25
  5. Step 5: Solve for x
    x = 11,099,149,256.25/69,263
  6. Step 6: Final answer
    x = 160,246.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.