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Finding the Third Proportional to 69,303.75 and 110,311.50

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Solution

The third proportional to 69,303.75 and 110,311.50 is: 175,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303.75 : 110,311.50 = 110,311.50 : x
  2. Step 2: Convert to fraction form
    69,303.75/110,311.50 = 110,311.50/x
  3. Step 3: Cross multiply
    69,303.75x = 110,311.50 × 110,311.50
  4. Step 4: Simplify right side
    69,303.75x = 12,168,627,032.25
  5. Step 5: Solve for x
    x = 12,168,627,032.25/69,303.75
  6. Step 6: Final answer
    x = 175,583.96

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Why These Related Problems?

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