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Finding the Third Proportional to 55,629.75 and 115,861.50

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Solution

The third proportional to 55,629.75 and 115,861.50 is: 241,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,629.75 : 115,861.50 = 115,861.50 : x
  2. Step 2: Convert to fraction form
    55,629.75/115,861.50 = 115,861.50/x
  3. Step 3: Cross multiply
    55,629.75x = 115,861.50 × 115,861.50
  4. Step 4: Simplify right side
    55,629.75x = 13,423,887,182.25
  5. Step 5: Solve for x
    x = 13,423,887,182.25/55,629.75
  6. Step 6: Final answer
    x = 241,307.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.