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Finding the Third Proportional to 58,584 and 127,860

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Solution

The third proportional to 58,584 and 127,860 is: 279,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584 : 127,860 = 127,860 : x
  2. Step 2: Convert to fraction form
    58,584/127,860 = 127,860/x
  3. Step 3: Cross multiply
    58,584x = 127,860 × 127,860
  4. Step 4: Simplify right side
    58,584x = 16,348,179,600
  5. Step 5: Solve for x
    x = 16,348,179,600/58,584
  6. Step 6: Final answer
    x = 279,055.37

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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.