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Finding the Third Proportional to 59,511 and 124,858.50

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Solution

The third proportional to 59,511 and 124,858.50 is: 261,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,511 : 124,858.50 = 124,858.50 : x
  2. Step 2: Convert to fraction form
    59,511/124,858.50 = 124,858.50/x
  3. Step 3: Cross multiply
    59,511x = 124,858.50 × 124,858.50
  4. Step 4: Simplify right side
    59,511x = 15,589,645,022.25
  5. Step 5: Solve for x
    x = 15,589,645,022.25/59,511
  6. Step 6: Final answer
    x = 261,962.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.