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Finding the Third Proportional to 112,903.31 and 154,815.75

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Solution

The third proportional to 112,903.31 and 154,815.75 is: 212,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,903.31 : 154,815.75 = 154,815.75 : x
  2. Step 2: Convert to fraction form
    112,903.31/154,815.75 = 154,815.75/x
  3. Step 3: Cross multiply
    112,903.31x = 154,815.75 × 154,815.75
  4. Step 4: Simplify right side
    112,903.31x = 23,967,916,448.06
  5. Step 5: Solve for x
    x = 23,967,916,448.06/112,903.31
  6. Step 6: Final answer
    x = 212,287.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.