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Finding the Third Proportional to 70,578 and 109,201.50

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Solution

The third proportional to 70,578 and 109,201.50 is: 168,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 109,201.50 = 109,201.50 : x
  2. Step 2: Convert to fraction form
    70,578/109,201.50 = 109,201.50/x
  3. Step 3: Cross multiply
    70,578x = 109,201.50 × 109,201.50
  4. Step 4: Simplify right side
    70,578x = 11,924,967,602.25
  5. Step 5: Solve for x
    x = 11,924,967,602.25/70,578
  6. Step 6: Final answer
    x = 168,961.54

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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.