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Finding the Third Proportional to 59,717.25 and 128,281.50

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Solution

The third proportional to 59,717.25 and 128,281.50 is: 275,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,717.25 : 128,281.50 = 128,281.50 : x
  2. Step 2: Convert to fraction form
    59,717.25/128,281.50 = 128,281.50/x
  3. Step 3: Cross multiply
    59,717.25x = 128,281.50 × 128,281.50
  4. Step 4: Simplify right side
    59,717.25x = 16,456,143,242.25
  5. Step 5: Solve for x
    x = 16,456,143,242.25/59,717.25
  6. Step 6: Final answer
    x = 275,567.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.