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Finding the Third Proportional to 53,352 and 116,544

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Solution

The third proportional to 53,352 and 116,544 is: 254,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,352 : 116,544 = 116,544 : x
  2. Step 2: Convert to fraction form
    53,352/116,544 = 116,544/x
  3. Step 3: Cross multiply
    53,352x = 116,544 × 116,544
  4. Step 4: Simplify right side
    53,352x = 13,582,503,936
  5. Step 5: Solve for x
    x = 13,582,503,936/53,352
  6. Step 6: Final answer
    x = 254,582.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.