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Finding the Third Proportional to 117,042 and 248,028

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Solution

The third proportional to 117,042 and 248,028 is: 525,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,042 : 248,028 = 248,028 : x
  2. Step 2: Convert to fraction form
    117,042/248,028 = 248,028/x
  3. Step 3: Cross multiply
    117,042x = 248,028 × 248,028
  4. Step 4: Simplify right side
    117,042x = 61,517,888,784
  5. Step 5: Solve for x
    x = 61,517,888,784/117,042
  6. Step 6: Final answer
    x = 525,605.24

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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.