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Finding the Third Proportional to 58,986 and 127,356

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Solution

The third proportional to 58,986 and 127,356 is: 274,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,986 : 127,356 = 127,356 : x
  2. Step 2: Convert to fraction form
    58,986/127,356 = 127,356/x
  3. Step 3: Cross multiply
    58,986x = 127,356 × 127,356
  4. Step 4: Simplify right side
    58,986x = 16,219,550,736
  5. Step 5: Solve for x
    x = 16,219,550,736/58,986
  6. Step 6: Final answer
    x = 274,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.