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Finding the Third Proportional to 111,090 and 158,747

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Solution

The third proportional to 111,090 and 158,747 is: 226,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,090 : 158,747 = 158,747 : x
  2. Step 2: Convert to fraction form
    111,090/158,747 = 158,747/x
  3. Step 3: Cross multiply
    111,090x = 158,747 × 158,747
  4. Step 4: Simplify right side
    111,090x = 25,200,610,009
  5. Step 5: Solve for x
    x = 25,200,610,009/111,090
  6. Step 6: Final answer
    x = 226,848.59

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