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Finding the Third Proportional to 111,012.50 and 239,783

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Solution

The third proportional to 111,012.50 and 239,783 is: 517,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,012.50 : 239,783 = 239,783 : x
  2. Step 2: Convert to fraction form
    111,012.50/239,783 = 239,783/x
  3. Step 3: Cross multiply
    111,012.50x = 239,783 × 239,783
  4. Step 4: Simplify right side
    111,012.50x = 57,495,887,089
  5. Step 5: Solve for x
    x = 57,495,887,089/111,012.50
  6. Step 6: Final answer
    x = 517,922.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.