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Finding the Third Proportional to 59,828.25 and 129,562.50

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Solution

The third proportional to 59,828.25 and 129,562.50 is: 280,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828.25 : 129,562.50 = 129,562.50 : x
  2. Step 2: Convert to fraction form
    59,828.25/129,562.50 = 129,562.50/x
  3. Step 3: Cross multiply
    59,828.25x = 129,562.50 × 129,562.50
  4. Step 4: Simplify right side
    59,828.25x = 16,786,441,406.25
  5. Step 5: Solve for x
    x = 16,786,441,406.25/59,828.25
  6. Step 6: Final answer
    x = 280,577.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.