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Finding the Third Proportional to 55,564.88 and 120,014.16

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Solution

The third proportional to 55,564.88 and 120,014.16 is: 259,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,564.88 : 120,014.16 = 120,014.16 : x
  2. Step 2: Convert to fraction form
    55,564.88/120,014.16 = 120,014.16/x
  3. Step 3: Cross multiply
    55,564.88x = 120,014.16 × 120,014.16
  4. Step 4: Simplify right side
    55,564.88x = 14,403,397,700.40
  5. Step 5: Solve for x
    x = 14,403,397,700.40/55,564.88
  6. Step 6: Final answer
    x = 259,217.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.