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Finding the Third Proportional to 53,424 and 117,216

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Solution

The third proportional to 53,424 and 117,216 is: 257,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 117,216 = 117,216 : x
  2. Step 2: Convert to fraction form
    53,424/117,216 = 117,216/x
  3. Step 3: Cross multiply
    53,424x = 117,216 × 117,216
  4. Step 4: Simplify right side
    53,424x = 13,739,590,656
  5. Step 5: Solve for x
    x = 13,739,590,656/53,424
  6. Step 6: Final answer
    x = 257,180.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.