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Finding the Third Proportional to 72,556 and 106,350

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Solution

The third proportional to 72,556 and 106,350 is: 155,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,556 : 106,350 = 106,350 : x
  2. Step 2: Convert to fraction form
    72,556/106,350 = 106,350/x
  3. Step 3: Cross multiply
    72,556x = 106,350 × 106,350
  4. Step 4: Simplify right side
    72,556x = 11,310,322,500
  5. Step 5: Solve for x
    x = 11,310,322,500/72,556
  6. Step 6: Final answer
    x = 155,884.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.