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Finding the Third Proportional to 61,431.75 and 93,933

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Solution

The third proportional to 61,431.75 and 93,933 is: 143,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431.75 : 93,933 = 93,933 : x
  2. Step 2: Convert to fraction form
    61,431.75/93,933 = 93,933/x
  3. Step 3: Cross multiply
    61,431.75x = 93,933 × 93,933
  4. Step 4: Simplify right side
    61,431.75x = 8,823,408,489
  5. Step 5: Solve for x
    x = 8,823,408,489/61,431.75
  6. Step 6: Final answer
    x = 143,629.45

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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.