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Finding the Third Proportional to 69,322.50 and 110,193.75

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Solution

The third proportional to 69,322.50 and 110,193.75 is: 175,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.50 : 110,193.75 = 110,193.75 : x
  2. Step 2: Convert to fraction form
    69,322.50/110,193.75 = 110,193.75/x
  3. Step 3: Cross multiply
    69,322.50x = 110,193.75 × 110,193.75
  4. Step 4: Simplify right side
    69,322.50x = 12,142,662,539.06
  5. Step 5: Solve for x
    x = 12,142,662,539.06/69,322.50
  6. Step 6: Final answer
    x = 175,161.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.