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Finding the Third Proportional to 70,984 and 109,896

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Solution

The third proportional to 70,984 and 109,896 is: 170,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984 : 109,896 = 109,896 : x
  2. Step 2: Convert to fraction form
    70,984/109,896 = 109,896/x
  3. Step 3: Cross multiply
    70,984x = 109,896 × 109,896
  4. Step 4: Simplify right side
    70,984x = 12,077,130,816
  5. Step 5: Solve for x
    x = 12,077,130,816/70,984
  6. Step 6: Final answer
    x = 170,138.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.