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Finding the Third Proportional to 111,221.86 and 172,362.94

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Solution

The third proportional to 111,221.86 and 172,362.94 is: 267,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,221.86 : 172,362.94 = 172,362.94 : x
  2. Step 2: Convert to fraction form
    111,221.86/172,362.94 = 172,362.94/x
  3. Step 3: Cross multiply
    111,221.86x = 172,362.94 × 172,362.94
  4. Step 4: Simplify right side
    111,221.86x = 29,708,982,223.63
  5. Step 5: Solve for x
    x = 29,708,982,223.63/111,221.86
  6. Step 6: Final answer
    x = 267,114.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.