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Finding the Third Proportional to 121,295.44 and 173,686.03

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Solution

The third proportional to 121,295.44 and 173,686.03 is: 248,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,295.44 : 173,686.03 = 173,686.03 : x
  2. Step 2: Convert to fraction form
    121,295.44/173,686.03 = 173,686.03/x
  3. Step 3: Cross multiply
    121,295.44x = 173,686.03 × 173,686.03
  4. Step 4: Simplify right side
    121,295.44x = 30,166,837,451.38
  5. Step 5: Solve for x
    x = 30,166,837,451.38/121,295.44
  6. Step 6: Final answer
    x = 248,705.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.