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Finding the Third Proportional to 58,216 and 127,328

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Solution

The third proportional to 58,216 and 127,328 is: 278,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,216 : 127,328 = 127,328 : x
  2. Step 2: Convert to fraction form
    58,216/127,328 = 127,328/x
  3. Step 3: Cross multiply
    58,216x = 127,328 × 127,328
  4. Step 4: Simplify right side
    58,216x = 16,212,419,584
  5. Step 5: Solve for x
    x = 16,212,419,584/58,216
  6. Step 6: Final answer
    x = 278,487.35

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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.