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Finding the Third Proportional to 47,088 and 108,918

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Solution

The third proportional to 47,088 and 108,918 is: 251,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,088 : 108,918 = 108,918 : x
  2. Step 2: Convert to fraction form
    47,088/108,918 = 108,918/x
  3. Step 3: Cross multiply
    47,088x = 108,918 × 108,918
  4. Step 4: Simplify right side
    47,088x = 11,863,130,724
  5. Step 5: Solve for x
    x = 11,863,130,724/47,088
  6. Step 6: Final answer
    x = 251,935.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.