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Finding the Third Proportional to 70,851 and 108,508.50

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Solution

The third proportional to 70,851 and 108,508.50 is: 166,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851 : 108,508.50 = 108,508.50 : x
  2. Step 2: Convert to fraction form
    70,851/108,508.50 = 108,508.50/x
  3. Step 3: Cross multiply
    70,851x = 108,508.50 × 108,508.50
  4. Step 4: Simplify right side
    70,851x = 11,774,094,572.25
  5. Step 5: Solve for x
    x = 11,774,094,572.25/70,851
  6. Step 6: Final answer
    x = 166,181.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.