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Finding the Third Proportional to 81,503 and 124,676.25

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Solution

The third proportional to 81,503 and 124,676.25 is: 190,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503 : 124,676.25 = 124,676.25 : x
  2. Step 2: Convert to fraction form
    81,503/124,676.25 = 124,676.25/x
  3. Step 3: Cross multiply
    81,503x = 124,676.25 × 124,676.25
  4. Step 4: Simplify right side
    81,503x = 15,544,167,314.06
  5. Step 5: Solve for x
    x = 15,544,167,314.06/81,503
  6. Step 6: Final answer
    x = 190,718.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.