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Finding the Third Proportional to 70,076 and 105,843

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Solution

The third proportional to 70,076 and 105,843 is: 159,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076 : 105,843 = 105,843 : x
  2. Step 2: Convert to fraction form
    70,076/105,843 = 105,843/x
  3. Step 3: Cross multiply
    70,076x = 105,843 × 105,843
  4. Step 4: Simplify right side
    70,076x = 11,202,740,649
  5. Step 5: Solve for x
    x = 11,202,740,649/70,076
  6. Step 6: Final answer
    x = 159,865.58

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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.