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Finding the Third Proportional to 65,936 and 103,359

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Solution

The third proportional to 65,936 and 103,359 is: 162,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936 : 103,359 = 103,359 : x
  2. Step 2: Convert to fraction form
    65,936/103,359 = 103,359/x
  3. Step 3: Cross multiply
    65,936x = 103,359 × 103,359
  4. Step 4: Simplify right side
    65,936x = 10,683,082,881
  5. Step 5: Solve for x
    x = 10,683,082,881/65,936
  6. Step 6: Final answer
    x = 162,022.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.