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Finding the Third Proportional to 111,111.75 and 158,775.75

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Solution

The third proportional to 111,111.75 and 158,775.75 is: 226,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,111.75 : 158,775.75 = 158,775.75 : x
  2. Step 2: Convert to fraction form
    111,111.75/158,775.75 = 158,775.75/x
  3. Step 3: Cross multiply
    111,111.75x = 158,775.75 × 158,775.75
  4. Step 4: Simplify right side
    111,111.75x = 25,209,738,788.06
  5. Step 5: Solve for x
    x = 25,209,738,788.06/111,111.75
  6. Step 6: Final answer
    x = 226,886.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.