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Finding the Third Proportional to 117,064 and 252,848

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Solution

The third proportional to 117,064 and 252,848 is: 546,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,064 : 252,848 = 252,848 : x
  2. Step 2: Convert to fraction form
    117,064/252,848 = 252,848/x
  3. Step 3: Cross multiply
    117,064x = 252,848 × 252,848
  4. Step 4: Simplify right side
    117,064x = 63,932,111,104
  5. Step 5: Solve for x
    x = 63,932,111,104/117,064
  6. Step 6: Final answer
    x = 546,129.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.