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Finding the Third Proportional to 139,754 and 301,756

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Solution

The third proportional to 139,754 and 301,756 is: 651,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,754 : 301,756 = 301,756 : x
  2. Step 2: Convert to fraction form
    139,754/301,756 = 301,756/x
  3. Step 3: Cross multiply
    139,754x = 301,756 × 301,756
  4. Step 4: Simplify right side
    139,754x = 91,056,683,536
  5. Step 5: Solve for x
    x = 91,056,683,536/139,754
  6. Step 6: Final answer
    x = 651,549.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.