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Finding the Third Proportional to 58,362 and 127,286

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Solution

The third proportional to 58,362 and 127,286 is: 277,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,362 : 127,286 = 127,286 : x
  2. Step 2: Convert to fraction form
    58,362/127,286 = 127,286/x
  3. Step 3: Cross multiply
    58,362x = 127,286 × 127,286
  4. Step 4: Simplify right side
    58,362x = 16,201,725,796
  5. Step 5: Solve for x
    x = 16,201,725,796/58,362
  6. Step 6: Final answer
    x = 277,607.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.