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Finding the Third Proportional to 107,085 and 238,106

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Solution

The third proportional to 107,085 and 238,106 is: 529,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,085 : 238,106 = 238,106 : x
  2. Step 2: Convert to fraction form
    107,085/238,106 = 238,106/x
  3. Step 3: Cross multiply
    107,085x = 238,106 × 238,106
  4. Step 4: Simplify right side
    107,085x = 56,694,467,236
  5. Step 5: Solve for x
    x = 56,694,467,236/107,085
  6. Step 6: Final answer
    x = 529,434.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.