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Finding the Third Proportional to 58,922 and 127,298

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Solution

The third proportional to 58,922 and 127,298 is: 275,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,922 : 127,298 = 127,298 : x
  2. Step 2: Convert to fraction form
    58,922/127,298 = 127,298/x
  3. Step 3: Cross multiply
    58,922x = 127,298 × 127,298
  4. Step 4: Simplify right side
    58,922x = 16,204,780,804
  5. Step 5: Solve for x
    x = 16,204,780,804/58,922
  6. Step 6: Final answer
    x = 275,020.89

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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.