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Finding the Third Proportional to 110,970 and 171,633.94

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Solution

The third proportional to 110,970 and 171,633.94 is: 265,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 171,633.94 = 171,633.94 : x
  2. Step 2: Convert to fraction form
    110,970/171,633.94 = 171,633.94/x
  3. Step 3: Cross multiply
    110,970x = 171,633.94 × 171,633.94
  4. Step 4: Simplify right side
    110,970x = 29,458,208,501.75
  5. Step 5: Solve for x
    x = 29,458,208,501.75/110,970
  6. Step 6: Final answer
    x = 265,461.01

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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.