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Finding the Third Proportional to 59,804 and 137,843

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Solution

The third proportional to 59,804 and 137,843 is: 317,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,804 : 137,843 = 137,843 : x
  2. Step 2: Convert to fraction form
    59,804/137,843 = 137,843/x
  3. Step 3: Cross multiply
    59,804x = 137,843 × 137,843
  4. Step 4: Simplify right side
    59,804x = 19,000,692,649
  5. Step 5: Solve for x
    x = 19,000,692,649/59,804
  6. Step 6: Final answer
    x = 317,716.08

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.