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Finding the Third Proportional to 59,986 and 131,271.50

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Solution

The third proportional to 59,986 and 131,271.50 is: 287,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,986 : 131,271.50 = 131,271.50 : x
  2. Step 2: Convert to fraction form
    59,986/131,271.50 = 131,271.50/x
  3. Step 3: Cross multiply
    59,986x = 131,271.50 × 131,271.50
  4. Step 4: Simplify right side
    59,986x = 17,232,206,712.25
  5. Step 5: Solve for x
    x = 17,232,206,712.25/59,986
  6. Step 6: Final answer
    x = 287,270.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.