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Finding the Third Proportional to 44,920 and 105,832

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Solution

The third proportional to 44,920 and 105,832 is: 249,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,920 : 105,832 = 105,832 : x
  2. Step 2: Convert to fraction form
    44,920/105,832 = 105,832/x
  3. Step 3: Cross multiply
    44,920x = 105,832 × 105,832
  4. Step 4: Simplify right side
    44,920x = 11,200,412,224
  5. Step 5: Solve for x
    x = 11,200,412,224/44,920
  6. Step 6: Final answer
    x = 249,341.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.