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Finding the Third Proportional to 72,627 and 171,719.63

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Solution

The third proportional to 72,627 and 171,719.63 is: 406,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,627 : 171,719.63 = 171,719.63 : x
  2. Step 2: Convert to fraction form
    72,627/171,719.63 = 171,719.63/x
  3. Step 3: Cross multiply
    72,627x = 171,719.63 × 171,719.63
  4. Step 4: Simplify right side
    72,627x = 29,487,629,610.14
  5. Step 5: Solve for x
    x = 29,487,629,610.14/72,627
  6. Step 6: Final answer
    x = 406,014.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.