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Finding the Third Proportional to 62,130 and 135,257.25

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Solution

The third proportional to 62,130 and 135,257.25 is: 294,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,130 : 135,257.25 = 135,257.25 : x
  2. Step 2: Convert to fraction form
    62,130/135,257.25 = 135,257.25/x
  3. Step 3: Cross multiply
    62,130x = 135,257.25 × 135,257.25
  4. Step 4: Simplify right side
    62,130x = 18,294,523,677.56
  5. Step 5: Solve for x
    x = 18,294,523,677.56/62,130
  6. Step 6: Final answer
    x = 294,455.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.