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Finding the Third Proportional to 53,961 and 118,630

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Solution

The third proportional to 53,961 and 118,630 is: 260,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,961 : 118,630 = 118,630 : x
  2. Step 2: Convert to fraction form
    53,961/118,630 = 118,630/x
  3. Step 3: Cross multiply
    53,961x = 118,630 × 118,630
  4. Step 4: Simplify right side
    53,961x = 14,073,076,900
  5. Step 5: Solve for x
    x = 14,073,076,900/53,961
  6. Step 6: Final answer
    x = 260,800.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.