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Finding the Third Proportional to 114,045 and 164,277

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Solution

The third proportional to 114,045 and 164,277 is: 236,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,045 : 164,277 = 164,277 : x
  2. Step 2: Convert to fraction form
    114,045/164,277 = 164,277/x
  3. Step 3: Cross multiply
    114,045x = 164,277 × 164,277
  4. Step 4: Simplify right side
    114,045x = 26,986,932,729
  5. Step 5: Solve for x
    x = 26,986,932,729/114,045
  6. Step 6: Final answer
    x = 236,634.07

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Why These Related Problems?

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