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Finding the Third Proportional to 70,980 and 109,886

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Solution

The third proportional to 70,980 and 109,886 is: 170,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,980 : 109,886 = 109,886 : x
  2. Step 2: Convert to fraction form
    70,980/109,886 = 109,886/x
  3. Step 3: Cross multiply
    70,980x = 109,886 × 109,886
  4. Step 4: Simplify right side
    70,980x = 12,074,932,996
  5. Step 5: Solve for x
    x = 12,074,932,996/70,980
  6. Step 6: Final answer
    x = 170,117.40

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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.