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Finding the Third Proportional to 65,224 and 103,673

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Solution

The third proportional to 65,224 and 103,673 is: 164,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224 : 103,673 = 103,673 : x
  2. Step 2: Convert to fraction form
    65,224/103,673 = 103,673/x
  3. Step 3: Cross multiply
    65,224x = 103,673 × 103,673
  4. Step 4: Simplify right side
    65,224x = 10,748,090,929
  5. Step 5: Solve for x
    x = 10,748,090,929/65,224
  6. Step 6: Final answer
    x = 164,787.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.