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Finding the Third Proportional to 110,083.50 and 174,966.50

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Solution

The third proportional to 110,083.50 and 174,966.50 is: 278,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,083.50 : 174,966.50 = 174,966.50 : x
  2. Step 2: Convert to fraction form
    110,083.50/174,966.50 = 174,966.50/x
  3. Step 3: Cross multiply
    110,083.50x = 174,966.50 × 174,966.50
  4. Step 4: Simplify right side
    110,083.50x = 30,613,276,122.25
  5. Step 5: Solve for x
    x = 30,613,276,122.25/110,083.50
  6. Step 6: Final answer
    x = 278,091.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.