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Finding the Third Proportional to 58,021 and 126,609

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Solution

The third proportional to 58,021 and 126,609 is: 276,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,021 : 126,609 = 126,609 : x
  2. Step 2: Convert to fraction form
    58,021/126,609 = 126,609/x
  3. Step 3: Cross multiply
    58,021x = 126,609 × 126,609
  4. Step 4: Simplify right side
    58,021x = 16,029,838,881
  5. Step 5: Solve for x
    x = 16,029,838,881/58,021
  6. Step 6: Final answer
    x = 276,276.50

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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.