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Finding the Third Proportional to 111,013.50 and 162,369

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Solution

The third proportional to 111,013.50 and 162,369 is: 237,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,013.50 : 162,369 = 162,369 : x
  2. Step 2: Convert to fraction form
    111,013.50/162,369 = 162,369/x
  3. Step 3: Cross multiply
    111,013.50x = 162,369 × 162,369
  4. Step 4: Simplify right side
    111,013.50x = 26,363,692,161
  5. Step 5: Solve for x
    x = 26,363,692,161/111,013.50
  6. Step 6: Final answer
    x = 237,481.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.