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Finding the Third Proportional to 110,868 and 174,046

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Solution

The third proportional to 110,868 and 174,046 is: 273,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,868 : 174,046 = 174,046 : x
  2. Step 2: Convert to fraction form
    110,868/174,046 = 174,046/x
  3. Step 3: Cross multiply
    110,868x = 174,046 × 174,046
  4. Step 4: Simplify right side
    110,868x = 30,292,010,116
  5. Step 5: Solve for x
    x = 30,292,010,116/110,868
  6. Step 6: Final answer
    x = 273,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.