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Finding the Third Proportional to 67,269 and 141,507

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Solution

The third proportional to 67,269 and 141,507 is: 297,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,269 : 141,507 = 141,507 : x
  2. Step 2: Convert to fraction form
    67,269/141,507 = 141,507/x
  3. Step 3: Cross multiply
    67,269x = 141,507 × 141,507
  4. Step 4: Simplify right side
    67,269x = 20,024,231,049
  5. Step 5: Solve for x
    x = 20,024,231,049/67,269
  6. Step 6: Final answer
    x = 297,673.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.