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Finding the Third Proportional to 40,187 and 88,029

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Solution

The third proportional to 40,187 and 88,029 is: 192,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,187 : 88,029 = 88,029 : x
  2. Step 2: Convert to fraction form
    40,187/88,029 = 88,029/x
  3. Step 3: Cross multiply
    40,187x = 88,029 × 88,029
  4. Step 4: Simplify right side
    40,187x = 7,749,104,841
  5. Step 5: Solve for x
    x = 7,749,104,841/40,187
  6. Step 6: Final answer
    x = 192,826.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.