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Finding the Third Proportional to 70,027 and 105,091

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Solution

The third proportional to 70,027 and 105,091 is: 157,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,027 : 105,091 = 105,091 : x
  2. Step 2: Convert to fraction form
    70,027/105,091 = 105,091/x
  3. Step 3: Cross multiply
    70,027x = 105,091 × 105,091
  4. Step 4: Simplify right side
    70,027x = 11,044,118,281
  5. Step 5: Solve for x
    x = 11,044,118,281/70,027
  6. Step 6: Final answer
    x = 157,712.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.