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Finding the Third Proportional to 64,777 and 139,490

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Solution

The third proportional to 64,777 and 139,490 is: 300,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,777 : 139,490 = 139,490 : x
  2. Step 2: Convert to fraction form
    64,777/139,490 = 139,490/x
  3. Step 3: Cross multiply
    64,777x = 139,490 × 139,490
  4. Step 4: Simplify right side
    64,777x = 19,457,460,100
  5. Step 5: Solve for x
    x = 19,457,460,100/64,777
  6. Step 6: Final answer
    x = 300,376.06

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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.