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Finding the Third Proportional to 58,220 and 127,336

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Solution

The third proportional to 58,220 and 127,336 is: 278,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,220 : 127,336 = 127,336 : x
  2. Step 2: Convert to fraction form
    58,220/127,336 = 127,336/x
  3. Step 3: Cross multiply
    58,220x = 127,336 × 127,336
  4. Step 4: Simplify right side
    58,220x = 16,214,456,896
  5. Step 5: Solve for x
    x = 16,214,456,896/58,220
  6. Step 6: Final answer
    x = 278,503.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.