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Finding the Third Proportional to 53,824 and 116,840

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Solution

The third proportional to 53,824 and 116,840 is: 253,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,824 : 116,840 = 116,840 : x
  2. Step 2: Convert to fraction form
    53,824/116,840 = 116,840/x
  3. Step 3: Cross multiply
    53,824x = 116,840 × 116,840
  4. Step 4: Simplify right side
    53,824x = 13,651,585,600
  5. Step 5: Solve for x
    x = 13,651,585,600/53,824
  6. Step 6: Final answer
    x = 253,633.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.