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Finding the Third Proportional to 67,297.50 and 141,570

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Solution

The third proportional to 67,297.50 and 141,570 is: 297,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,297.50 : 141,570 = 141,570 : x
  2. Step 2: Convert to fraction form
    67,297.50/141,570 = 141,570/x
  3. Step 3: Cross multiply
    67,297.50x = 141,570 × 141,570
  4. Step 4: Simplify right side
    67,297.50x = 20,042,064,900
  5. Step 5: Solve for x
    x = 20,042,064,900/67,297.50
  6. Step 6: Final answer
    x = 297,812.92

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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.