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Finding the Third Proportional to 105,804 and 141,048

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Solution

The third proportional to 105,804 and 141,048 is: 188,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,804 : 141,048 = 141,048 : x
  2. Step 2: Convert to fraction form
    105,804/141,048 = 141,048/x
  3. Step 3: Cross multiply
    105,804x = 141,048 × 141,048
  4. Step 4: Simplify right side
    105,804x = 19,894,538,304
  5. Step 5: Solve for x
    x = 19,894,538,304/105,804
  6. Step 6: Final answer
    x = 188,032.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.