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Finding the Third Proportional to 127,193.63 and 186,998.63

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Solution

The third proportional to 127,193.63 and 186,998.63 is: 274,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,193.63 : 186,998.63 = 186,998.63 : x
  2. Step 2: Convert to fraction form
    127,193.63/186,998.63 = 186,998.63/x
  3. Step 3: Cross multiply
    127,193.63x = 186,998.63 × 186,998.63
  4. Step 4: Simplify right side
    127,193.63x = 34,968,485,751.89
  5. Step 5: Solve for x
    x = 34,968,485,751.89/127,193.63
  6. Step 6: Final answer
    x = 274,923.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.