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Finding the Third Proportional to 64,947 and 139,614

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Solution

The third proportional to 64,947 and 139,614 is: 300,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,947 : 139,614 = 139,614 : x
  2. Step 2: Convert to fraction form
    64,947/139,614 = 139,614/x
  3. Step 3: Cross multiply
    64,947x = 139,614 × 139,614
  4. Step 4: Simplify right side
    64,947x = 19,492,068,996
  5. Step 5: Solve for x
    x = 19,492,068,996/64,947
  6. Step 6: Final answer
    x = 300,122.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.