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Finding the Third Proportional to 111,126.94 and 171,907.31

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Solution

The third proportional to 111,126.94 and 171,907.31 is: 265,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,126.94 : 171,907.31 = 171,907.31 : x
  2. Step 2: Convert to fraction form
    111,126.94/171,907.31 = 171,907.31/x
  3. Step 3: Cross multiply
    111,126.94x = 171,907.31 × 171,907.31
  4. Step 4: Simplify right side
    111,126.94x = 29,552,124,090.97
  5. Step 5: Solve for x
    x = 29,552,124,090.97/111,126.94
  6. Step 6: Final answer
    x = 265,931.24

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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.