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Finding the Third Proportional to 105,804 and 163,962

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Solution

The third proportional to 105,804 and 163,962 is: 254,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,804 : 163,962 = 163,962 : x
  2. Step 2: Convert to fraction form
    105,804/163,962 = 163,962/x
  3. Step 3: Cross multiply
    105,804x = 163,962 × 163,962
  4. Step 4: Simplify right side
    105,804x = 26,883,537,444
  5. Step 5: Solve for x
    x = 26,883,537,444/105,804
  6. Step 6: Final answer
    x = 254,088.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.