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Finding the Third Proportional to 69,216.50 and 106,109.50

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Solution

The third proportional to 69,216.50 and 106,109.50 is: 162,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216.50 : 106,109.50 = 106,109.50 : x
  2. Step 2: Convert to fraction form
    69,216.50/106,109.50 = 106,109.50/x
  3. Step 3: Cross multiply
    69,216.50x = 106,109.50 × 106,109.50
  4. Step 4: Simplify right side
    69,216.50x = 11,259,225,990.25
  5. Step 5: Solve for x
    x = 11,259,225,990.25/69,216.50
  6. Step 6: Final answer
    x = 162,666.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.