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Finding the Third Proportional to 64,710 and 139,632

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Solution

The third proportional to 64,710 and 139,632 is: 301,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,710 : 139,632 = 139,632 : x
  2. Step 2: Convert to fraction form
    64,710/139,632 = 139,632/x
  3. Step 3: Cross multiply
    64,710x = 139,632 × 139,632
  4. Step 4: Simplify right side
    64,710x = 19,497,095,424
  5. Step 5: Solve for x
    x = 19,497,095,424/64,710
  6. Step 6: Final answer
    x = 301,299.57

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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.