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Finding the Third Proportional to 31,889 and 70,069

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Solution

The third proportional to 31,889 and 70,069 is: 153,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889 : 70,069 = 70,069 : x
  2. Step 2: Convert to fraction form
    31,889/70,069 = 70,069/x
  3. Step 3: Cross multiply
    31,889x = 70,069 × 70,069
  4. Step 4: Simplify right side
    31,889x = 4,909,664,761
  5. Step 5: Solve for x
    x = 4,909,664,761/31,889
  6. Step 6: Final answer
    x = 153,961.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.