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Finding the Third Proportional to 106,513 and 229,627

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Solution

The third proportional to 106,513 and 229,627 is: 495,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,513 : 229,627 = 229,627 : x
  2. Step 2: Convert to fraction form
    106,513/229,627 = 229,627/x
  3. Step 3: Cross multiply
    106,513x = 229,627 × 229,627
  4. Step 4: Simplify right side
    106,513x = 52,728,559,129
  5. Step 5: Solve for x
    x = 52,728,559,129/106,513
  6. Step 6: Final answer
    x = 495,043.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.