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Finding the Third Proportional to 67,284 and 141,538

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Solution

The third proportional to 67,284 and 141,538 is: 297,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 141,538 = 141,538 : x
  2. Step 2: Convert to fraction form
    67,284/141,538 = 141,538/x
  3. Step 3: Cross multiply
    67,284x = 141,538 × 141,538
  4. Step 4: Simplify right side
    67,284x = 20,033,005,444
  5. Step 5: Solve for x
    x = 20,033,005,444/67,284
  6. Step 6: Final answer
    x = 297,738.03

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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.