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Finding the Third Proportional to 64,880 and 139,581

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Solution

The third proportional to 64,880 and 139,581 is: 300,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,880 : 139,581 = 139,581 : x
  2. Step 2: Convert to fraction form
    64,880/139,581 = 139,581/x
  3. Step 3: Cross multiply
    64,880x = 139,581 × 139,581
  4. Step 4: Simplify right side
    64,880x = 19,482,855,561
  5. Step 5: Solve for x
    x = 19,482,855,561/64,880
  6. Step 6: Final answer
    x = 300,290.62

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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.