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Finding the Third Proportional to 58,967 and 127,271

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Solution

The third proportional to 58,967 and 127,271 is: 274,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,967 : 127,271 = 127,271 : x
  2. Step 2: Convert to fraction form
    58,967/127,271 = 127,271/x
  3. Step 3: Cross multiply
    58,967x = 127,271 × 127,271
  4. Step 4: Simplify right side
    58,967x = 16,197,907,441
  5. Step 5: Solve for x
    x = 16,197,907,441/58,967
  6. Step 6: Final answer
    x = 274,694.45

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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.