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Finding the Third Proportional to 67,300 and 141,574

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Solution

The third proportional to 67,300 and 141,574 is: 297,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,300 : 141,574 = 141,574 : x
  2. Step 2: Convert to fraction form
    67,300/141,574 = 141,574/x
  3. Step 3: Cross multiply
    67,300x = 141,574 × 141,574
  4. Step 4: Simplify right side
    67,300x = 20,043,197,476
  5. Step 5: Solve for x
    x = 20,043,197,476/67,300
  6. Step 6: Final answer
    x = 297,818.68

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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.