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Finding the Third Proportional to 114,726 and 252,144

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Solution

The third proportional to 114,726 and 252,144 is: 554,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,726 : 252,144 = 252,144 : x
  2. Step 2: Convert to fraction form
    114,726/252,144 = 252,144/x
  3. Step 3: Cross multiply
    114,726x = 252,144 × 252,144
  4. Step 4: Simplify right side
    114,726x = 63,576,596,736
  5. Step 5: Solve for x
    x = 63,576,596,736/114,726
  6. Step 6: Final answer
    x = 554,160.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.