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Finding the Third Proportional to 68,476 and 148,184

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Solution

The third proportional to 68,476 and 148,184 is: 320,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,476 : 148,184 = 148,184 : x
  2. Step 2: Convert to fraction form
    68,476/148,184 = 148,184/x
  3. Step 3: Cross multiply
    68,476x = 148,184 × 148,184
  4. Step 4: Simplify right side
    68,476x = 21,958,497,856
  5. Step 5: Solve for x
    x = 21,958,497,856/68,476
  6. Step 6: Final answer
    x = 320,674.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.