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Finding the Third Proportional to 67,976 and 148,240

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Solution

The third proportional to 67,976 and 148,240 is: 323,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,976 : 148,240 = 148,240 : x
  2. Step 2: Convert to fraction form
    67,976/148,240 = 148,240/x
  3. Step 3: Cross multiply
    67,976x = 148,240 × 148,240
  4. Step 4: Simplify right side
    67,976x = 21,975,097,600
  5. Step 5: Solve for x
    x = 21,975,097,600/67,976
  6. Step 6: Final answer
    x = 323,277.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.