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Finding the Third Proportional to 69,113 and 148,054

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Solution

The third proportional to 69,113 and 148,054 is: 317,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,113 : 148,054 = 148,054 : x
  2. Step 2: Convert to fraction form
    69,113/148,054 = 148,054/x
  3. Step 3: Cross multiply
    69,113x = 148,054 × 148,054
  4. Step 4: Simplify right side
    69,113x = 21,919,986,916
  5. Step 5: Solve for x
    x = 21,919,986,916/69,113
  6. Step 6: Final answer
    x = 317,161.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.