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Finding the Third Proportional to 53,500 and 112,969

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Solution

The third proportional to 53,500 and 112,969 is: 238,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500 : 112,969 = 112,969 : x
  2. Step 2: Convert to fraction form
    53,500/112,969 = 112,969/x
  3. Step 3: Cross multiply
    53,500x = 112,969 × 112,969
  4. Step 4: Simplify right side
    53,500x = 12,761,994,961
  5. Step 5: Solve for x
    x = 12,761,994,961/53,500
  6. Step 6: Final answer
    x = 238,541.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.