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Finding the Third Proportional to 72,894 and 156,968

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Solution

The third proportional to 72,894 and 156,968 is: 338,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894 : 156,968 = 156,968 : x
  2. Step 2: Convert to fraction form
    72,894/156,968 = 156,968/x
  3. Step 3: Cross multiply
    72,894x = 156,968 × 156,968
  4. Step 4: Simplify right side
    72,894x = 24,638,953,024
  5. Step 5: Solve for x
    x = 24,638,953,024/72,894
  6. Step 6: Final answer
    x = 338,010.71

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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.