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Finding the Third Proportional to 114,041.25 and 164,272.31

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Solution

The third proportional to 114,041.25 and 164,272.31 is: 236,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041.25 : 164,272.31 = 164,272.31 : x
  2. Step 2: Convert to fraction form
    114,041.25/164,272.31 = 164,272.31/x
  3. Step 3: Cross multiply
    114,041.25x = 164,272.31 × 164,272.31
  4. Step 4: Simplify right side
    114,041.25x = 26,985,392,654.10
  5. Step 5: Solve for x
    x = 26,985,392,654.10/114,041.25
  6. Step 6: Final answer
    x = 236,628.35

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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.