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Finding the Third Proportional to 42,091 and 70,143

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Solution

The third proportional to 42,091 and 70,143 is: 116,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,091 : 70,143 = 70,143 : x
  2. Step 2: Convert to fraction form
    42,091/70,143 = 70,143/x
  3. Step 3: Cross multiply
    42,091x = 70,143 × 70,143
  4. Step 4: Simplify right side
    42,091x = 4,920,040,449
  5. Step 5: Solve for x
    x = 4,920,040,449/42,091
  6. Step 6: Final answer
    x = 116,890.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.