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Finding the Third Proportional to 58,841 and 127,342

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Solution

The third proportional to 58,841 and 127,342 is: 275,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,841 : 127,342 = 127,342 : x
  2. Step 2: Convert to fraction form
    58,841/127,342 = 127,342/x
  3. Step 3: Cross multiply
    58,841x = 127,342 × 127,342
  4. Step 4: Simplify right side
    58,841x = 16,215,984,964
  5. Step 5: Solve for x
    x = 16,215,984,964/58,841
  6. Step 6: Final answer
    x = 275,589.89

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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.