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Finding the Third Proportional to 62,856 and 127,534.50

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Solution

The third proportional to 62,856 and 127,534.50 is: 258,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,856 : 127,534.50 = 127,534.50 : x
  2. Step 2: Convert to fraction form
    62,856/127,534.50 = 127,534.50/x
  3. Step 3: Cross multiply
    62,856x = 127,534.50 × 127,534.50
  4. Step 4: Simplify right side
    62,856x = 16,265,048,690.25
  5. Step 5: Solve for x
    x = 16,265,048,690.25/62,856
  6. Step 6: Final answer
    x = 258,766.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.