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Finding the Third Proportional to 44,523 and 105,104.25

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Solution

The third proportional to 44,523 and 105,104.25 is: 248,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,523 : 105,104.25 = 105,104.25 : x
  2. Step 2: Convert to fraction form
    44,523/105,104.25 = 105,104.25/x
  3. Step 3: Cross multiply
    44,523x = 105,104.25 × 105,104.25
  4. Step 4: Simplify right side
    44,523x = 11,046,903,368.06
  5. Step 5: Solve for x
    x = 11,046,903,368.06/44,523
  6. Step 6: Final answer
    x = 248,116.78

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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.