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Finding the Third Proportional to 55,958 and 114,502

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Solution

The third proportional to 55,958 and 114,502 is: 234,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958 : 114,502 = 114,502 : x
  2. Step 2: Convert to fraction form
    55,958/114,502 = 114,502/x
  3. Step 3: Cross multiply
    55,958x = 114,502 × 114,502
  4. Step 4: Simplify right side
    55,958x = 13,110,708,004
  5. Step 5: Solve for x
    x = 13,110,708,004/55,958
  6. Step 6: Final answer
    x = 234,295.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.