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Finding the Third Proportional to 62,865 and 127,552.50

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Solution

The third proportional to 62,865 and 127,552.50 is: 258,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,865 : 127,552.50 = 127,552.50 : x
  2. Step 2: Convert to fraction form
    62,865/127,552.50 = 127,552.50/x
  3. Step 3: Cross multiply
    62,865x = 127,552.50 × 127,552.50
  4. Step 4: Simplify right side
    62,865x = 16,269,640,256.25
  5. Step 5: Solve for x
    x = 16,269,640,256.25/62,865
  6. Step 6: Final answer
    x = 258,802.84

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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.