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Finding the Third Proportional to 62,244 and 93,412

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Solution

The third proportional to 62,244 and 93,412 is: 140,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,244 : 93,412 = 93,412 : x
  2. Step 2: Convert to fraction form
    62,244/93,412 = 93,412/x
  3. Step 3: Cross multiply
    62,244x = 93,412 × 93,412
  4. Step 4: Simplify right side
    62,244x = 8,725,801,744
  5. Step 5: Solve for x
    x = 8,725,801,744/62,244
  6. Step 6: Final answer
    x = 140,187.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.