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Finding the Third Proportional to 114,042.25 and 164,273.63

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Solution

The third proportional to 114,042.25 and 164,273.63 is: 236,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.25 : 164,273.63 = 164,273.63 : x
  2. Step 2: Convert to fraction form
    114,042.25/164,273.63 = 164,273.63/x
  3. Step 3: Cross multiply
    114,042.25x = 164,273.63 × 164,273.63
  4. Step 4: Simplify right side
    114,042.25x = 26,985,823,870.64
  5. Step 5: Solve for x
    x = 26,985,823,870.64/114,042.25
  6. Step 6: Final answer
    x = 236,630.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.