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Finding the Third Proportional to 69,302.25 and 110,173.50

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Solution

The third proportional to 69,302.25 and 110,173.50 is: 175,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,302.25 : 110,173.50 = 110,173.50 : x
  2. Step 2: Convert to fraction form
    69,302.25/110,173.50 = 110,173.50/x
  3. Step 3: Cross multiply
    69,302.25x = 110,173.50 × 110,173.50
  4. Step 4: Simplify right side
    69,302.25x = 12,138,200,102.25
  5. Step 5: Solve for x
    x = 12,138,200,102.25/69,302.25
  6. Step 6: Final answer
    x = 175,148.72

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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.