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Finding the Third Proportional to 72,807 and 156,791

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Solution

The third proportional to 72,807 and 156,791 is: 337,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807 : 156,791 = 156,791 : x
  2. Step 2: Convert to fraction form
    72,807/156,791 = 156,791/x
  3. Step 3: Cross multiply
    72,807x = 156,791 × 156,791
  4. Step 4: Simplify right side
    72,807x = 24,583,417,681
  5. Step 5: Solve for x
    x = 24,583,417,681/72,807
  6. Step 6: Final answer
    x = 337,651.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.