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Finding the Third Proportional to 63,946 and 100,019.50

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Solution

The third proportional to 63,946 and 100,019.50 is: 156,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,946 : 100,019.50 = 100,019.50 : x
  2. Step 2: Convert to fraction form
    63,946/100,019.50 = 100,019.50/x
  3. Step 3: Cross multiply
    63,946x = 100,019.50 × 100,019.50
  4. Step 4: Simplify right side
    63,946x = 10,003,900,380.25
  5. Step 5: Solve for x
    x = 10,003,900,380.25/63,946
  6. Step 6: Final answer
    x = 156,442.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.