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Finding the Third Proportional to 51,117.75 and 109,525.50

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Solution

The third proportional to 51,117.75 and 109,525.50 is: 234,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.75 : 109,525.50 = 109,525.50 : x
  2. Step 2: Convert to fraction form
    51,117.75/109,525.50 = 109,525.50/x
  3. Step 3: Cross multiply
    51,117.75x = 109,525.50 × 109,525.50
  4. Step 4: Simplify right side
    51,117.75x = 11,995,835,150.25
  5. Step 5: Solve for x
    x = 11,995,835,150.25/51,117.75
  6. Step 6: Final answer
    x = 234,670.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.