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Finding the Third Proportional to 46,524 and 103,434

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Solution

The third proportional to 46,524 and 103,434 is: 229,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524 : 103,434 = 103,434 : x
  2. Step 2: Convert to fraction form
    46,524/103,434 = 103,434/x
  3. Step 3: Cross multiply
    46,524x = 103,434 × 103,434
  4. Step 4: Simplify right side
    46,524x = 10,698,592,356
  5. Step 5: Solve for x
    x = 10,698,592,356/46,524
  6. Step 6: Final answer
    x = 229,958.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.