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Finding the Third Proportional to 112,461.75 and 174,069

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Solution

The third proportional to 112,461.75 and 174,069 is: 269,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,461.75 : 174,069 = 174,069 : x
  2. Step 2: Convert to fraction form
    112,461.75/174,069 = 174,069/x
  3. Step 3: Cross multiply
    112,461.75x = 174,069 × 174,069
  4. Step 4: Simplify right side
    112,461.75x = 30,300,016,761
  5. Step 5: Solve for x
    x = 30,300,016,761/112,461.75
  6. Step 6: Final answer
    x = 269,425.09

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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.