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Finding the Third Proportional to 69,426.75 and 105,114

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Solution

The third proportional to 69,426.75 and 105,114 is: 159,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,426.75 : 105,114 = 105,114 : x
  2. Step 2: Convert to fraction form
    69,426.75/105,114 = 105,114/x
  3. Step 3: Cross multiply
    69,426.75x = 105,114 × 105,114
  4. Step 4: Simplify right side
    69,426.75x = 11,048,952,996
  5. Step 5: Solve for x
    x = 11,048,952,996/69,426.75
  6. Step 6: Final answer
    x = 159,145.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.