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Finding the Third Proportional to 55,433 and 114,133

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Solution

The third proportional to 55,433 and 114,133 is: 234,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433 : 114,133 = 114,133 : x
  2. Step 2: Convert to fraction form
    55,433/114,133 = 114,133/x
  3. Step 3: Cross multiply
    55,433x = 114,133 × 114,133
  4. Step 4: Simplify right side
    55,433x = 13,026,341,689
  5. Step 5: Solve for x
    x = 13,026,341,689/55,433
  6. Step 6: Final answer
    x = 234,992.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.