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Finding the Third Proportional to 68,958 and 100,440

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Solution

The third proportional to 68,958 and 100,440 is: 146,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,958 : 100,440 = 100,440 : x
  2. Step 2: Convert to fraction form
    68,958/100,440 = 100,440/x
  3. Step 3: Cross multiply
    68,958x = 100,440 × 100,440
  4. Step 4: Simplify right side
    68,958x = 10,088,193,600
  5. Step 5: Solve for x
    x = 10,088,193,600/68,958
  6. Step 6: Final answer
    x = 146,294.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.