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Finding the Third Proportional to 65,510 and 103,900

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Solution

The third proportional to 65,510 and 103,900 is: 164,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,510 : 103,900 = 103,900 : x
  2. Step 2: Convert to fraction form
    65,510/103,900 = 103,900/x
  3. Step 3: Cross multiply
    65,510x = 103,900 × 103,900
  4. Step 4: Simplify right side
    65,510x = 10,795,210,000
  5. Step 5: Solve for x
    x = 10,795,210,000/65,510
  6. Step 6: Final answer
    x = 164,787.21

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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.