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Finding the Third Proportional to 55,838 and 117,184

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Solution

The third proportional to 55,838 and 117,184 is: 245,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838 : 117,184 = 117,184 : x
  2. Step 2: Convert to fraction form
    55,838/117,184 = 117,184/x
  3. Step 3: Cross multiply
    55,838x = 117,184 × 117,184
  4. Step 4: Simplify right side
    55,838x = 13,732,089,856
  5. Step 5: Solve for x
    x = 13,732,089,856/55,838
  6. Step 6: Final answer
    x = 245,927.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.