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Finding the Third Proportional to 61,722 and 127,813.50

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Solution

The third proportional to 61,722 and 127,813.50 is: 264,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722 : 127,813.50 = 127,813.50 : x
  2. Step 2: Convert to fraction form
    61,722/127,813.50 = 127,813.50/x
  3. Step 3: Cross multiply
    61,722x = 127,813.50 × 127,813.50
  4. Step 4: Simplify right side
    61,722x = 16,336,290,782.25
  5. Step 5: Solve for x
    x = 16,336,290,782.25/61,722
  6. Step 6: Final answer
    x = 264,675.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.