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Finding the Third Proportional to 110,852.63 and 171,971.63

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Solution

The third proportional to 110,852.63 and 171,971.63 is: 266,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,852.63 : 171,971.63 = 171,971.63 : x
  2. Step 2: Convert to fraction form
    110,852.63/171,971.63 = 171,971.63/x
  3. Step 3: Cross multiply
    110,852.63x = 171,971.63 × 171,971.63
  4. Step 4: Simplify right side
    110,852.63x = 29,574,239,805.14
  5. Step 5: Solve for x
    x = 29,574,239,805.14/110,852.63
  6. Step 6: Final answer
    x = 266,788.81

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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.