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Finding the Third Proportional to 72,978 and 157,620

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Solution

The third proportional to 72,978 and 157,620 is: 340,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978 : 157,620 = 157,620 : x
  2. Step 2: Convert to fraction form
    72,978/157,620 = 157,620/x
  3. Step 3: Cross multiply
    72,978x = 157,620 × 157,620
  4. Step 4: Simplify right side
    72,978x = 24,844,064,400
  5. Step 5: Solve for x
    x = 24,844,064,400/72,978
  6. Step 6: Final answer
    x = 340,432.25

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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.