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Finding the Third Proportional to 55,722 and 116,038

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Solution

The third proportional to 55,722 and 116,038 is: 241,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722 : 116,038 = 116,038 : x
  2. Step 2: Convert to fraction form
    55,722/116,038 = 116,038/x
  3. Step 3: Cross multiply
    55,722x = 116,038 × 116,038
  4. Step 4: Simplify right side
    55,722x = 13,464,817,444
  5. Step 5: Solve for x
    x = 13,464,817,444/55,722
  6. Step 6: Final answer
    x = 241,642.75

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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.