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Finding the Third Proportional to 112,889 and 175,004

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Solution

The third proportional to 112,889 and 175,004 is: 271,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,889 : 175,004 = 175,004 : x
  2. Step 2: Convert to fraction form
    112,889/175,004 = 175,004/x
  3. Step 3: Cross multiply
    112,889x = 175,004 × 175,004
  4. Step 4: Simplify right side
    112,889x = 30,626,400,016
  5. Step 5: Solve for x
    x = 30,626,400,016/112,889
  6. Step 6: Final answer
    x = 271,296.58

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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.