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Finding the Third Proportional to 69,743 and 89,548.50

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Solution

The third proportional to 69,743 and 89,548.50 is: 114,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,743 : 89,548.50 = 89,548.50 : x
  2. Step 2: Convert to fraction form
    69,743/89,548.50 = 89,548.50/x
  3. Step 3: Cross multiply
    69,743x = 89,548.50 × 89,548.50
  4. Step 4: Simplify right side
    69,743x = 8,018,933,852.25
  5. Step 5: Solve for x
    x = 8,018,933,852.25/69,743
  6. Step 6: Final answer
    x = 114,978.33

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.