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Finding the Third Proportional to 64,936 and 139,988

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Solution

The third proportional to 64,936 and 139,988 is: 301,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936 : 139,988 = 139,988 : x
  2. Step 2: Convert to fraction form
    64,936/139,988 = 139,988/x
  3. Step 3: Cross multiply
    64,936x = 139,988 × 139,988
  4. Step 4: Simplify right side
    64,936x = 19,596,640,144
  5. Step 5: Solve for x
    x = 19,596,640,144/64,936
  6. Step 6: Final answer
    x = 301,783.91

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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.