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Finding the Third Proportional to 61,525.50 and 145,551

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Solution

The third proportional to 61,525.50 and 145,551 is: 344,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,525.50 : 145,551 = 145,551 : x
  2. Step 2: Convert to fraction form
    61,525.50/145,551 = 145,551/x
  3. Step 3: Cross multiply
    61,525.50x = 145,551 × 145,551
  4. Step 4: Simplify right side
    61,525.50x = 21,185,093,601
  5. Step 5: Solve for x
    x = 21,185,093,601/61,525.50
  6. Step 6: Final answer
    x = 344,330.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.