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Finding the Third Proportional to 72,860 and 160,172

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Solution

The third proportional to 72,860 and 160,172 is: 352,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,860 : 160,172 = 160,172 : x
  2. Step 2: Convert to fraction form
    72,860/160,172 = 160,172/x
  3. Step 3: Cross multiply
    72,860x = 160,172 × 160,172
  4. Step 4: Simplify right side
    72,860x = 25,655,069,584
  5. Step 5: Solve for x
    x = 25,655,069,584/72,860
  6. Step 6: Final answer
    x = 352,114.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.