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Finding the Third Proportional to 64,732 and 92,908

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Solution

The third proportional to 64,732 and 92,908 is: 133,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,732 : 92,908 = 92,908 : x
  2. Step 2: Convert to fraction form
    64,732/92,908 = 92,908/x
  3. Step 3: Cross multiply
    64,732x = 92,908 × 92,908
  4. Step 4: Simplify right side
    64,732x = 8,631,896,464
  5. Step 5: Solve for x
    x = 8,631,896,464/64,732
  6. Step 6: Final answer
    x = 133,348.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.