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Finding the Third Proportional to 67,282 and 142,764

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Solution

The third proportional to 67,282 and 142,764 is: 302,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,282 : 142,764 = 142,764 : x
  2. Step 2: Convert to fraction form
    67,282/142,764 = 142,764/x
  3. Step 3: Cross multiply
    67,282x = 142,764 × 142,764
  4. Step 4: Simplify right side
    67,282x = 20,381,559,696
  5. Step 5: Solve for x
    x = 20,381,559,696/67,282
  6. Step 6: Final answer
    x = 302,927.38

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