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Finding the Third Proportional to 70,120 and 105,906

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Solution

The third proportional to 70,120 and 105,906 is: 159,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120 : 105,906 = 105,906 : x
  2. Step 2: Convert to fraction form
    70,120/105,906 = 105,906/x
  3. Step 3: Cross multiply
    70,120x = 105,906 × 105,906
  4. Step 4: Simplify right side
    70,120x = 11,216,080,836
  5. Step 5: Solve for x
    x = 11,216,080,836/70,120
  6. Step 6: Final answer
    x = 159,955.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.