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Finding the Third Proportional to 67,300 and 146,386

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Solution

The third proportional to 67,300 and 146,386 is: 318,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,300 : 146,386 = 146,386 : x
  2. Step 2: Convert to fraction form
    67,300/146,386 = 146,386/x
  3. Step 3: Cross multiply
    67,300x = 146,386 × 146,386
  4. Step 4: Simplify right side
    67,300x = 21,428,860,996
  5. Step 5: Solve for x
    x = 21,428,860,996/67,300
  6. Step 6: Final answer
    x = 318,408.04

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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.