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Finding the Third Proportional to 67,306 and 142,810

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Solution

The third proportional to 67,306 and 142,810 is: 303,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306 : 142,810 = 142,810 : x
  2. Step 2: Convert to fraction form
    67,306/142,810 = 142,810/x
  3. Step 3: Cross multiply
    67,306x = 142,810 × 142,810
  4. Step 4: Simplify right side
    67,306x = 20,394,696,100
  5. Step 5: Solve for x
    x = 20,394,696,100/67,306
  6. Step 6: Final answer
    x = 303,014.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.