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Finding the Third Proportional to 43,999 and 70,841

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Solution

The third proportional to 43,999 and 70,841 is: 114,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,999 : 70,841 = 70,841 : x
  2. Step 2: Convert to fraction form
    43,999/70,841 = 70,841/x
  3. Step 3: Cross multiply
    43,999x = 70,841 × 70,841
  4. Step 4: Simplify right side
    43,999x = 5,018,447,281
  5. Step 5: Solve for x
    x = 5,018,447,281/43,999
  6. Step 6: Final answer
    x = 114,058.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.