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Finding the Third Proportional to 69,303 and 111,604.50

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Solution

The third proportional to 69,303 and 111,604.50 is: 179,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303 : 111,604.50 = 111,604.50 : x
  2. Step 2: Convert to fraction form
    69,303/111,604.50 = 111,604.50/x
  3. Step 3: Cross multiply
    69,303x = 111,604.50 × 111,604.50
  4. Step 4: Simplify right side
    69,303x = 12,455,564,420.25
  5. Step 5: Solve for x
    x = 12,455,564,420.25/69,303
  6. Step 6: Final answer
    x = 179,726.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.