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Finding the Third Proportional to 117,066 and 248,064

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Solution

The third proportional to 117,066 and 248,064 is: 525,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,066 : 248,064 = 248,064 : x
  2. Step 2: Convert to fraction form
    117,066/248,064 = 248,064/x
  3. Step 3: Cross multiply
    117,066x = 248,064 × 248,064
  4. Step 4: Simplify right side
    117,066x = 61,535,748,096
  5. Step 5: Solve for x
    x = 61,535,748,096/117,066
  6. Step 6: Final answer
    x = 525,650.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.