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Finding the Third Proportional to 72,648 and 156,764.63

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Solution

The third proportional to 72,648 and 156,764.63 is: 338,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,648 : 156,764.63 = 156,764.63 : x
  2. Step 2: Convert to fraction form
    72,648/156,764.63 = 156,764.63/x
  3. Step 3: Cross multiply
    72,648x = 156,764.63 × 156,764.63
  4. Step 4: Simplify right side
    72,648x = 24,575,147,651.39
  5. Step 5: Solve for x
    x = 24,575,147,651.39/72,648
  6. Step 6: Final answer
    x = 338,277.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.