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Finding the Third Proportional to 58,071 and 126,712

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Solution

The third proportional to 58,071 and 126,712 is: 276,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,071 : 126,712 = 126,712 : x
  2. Step 2: Convert to fraction form
    58,071/126,712 = 126,712/x
  3. Step 3: Cross multiply
    58,071x = 126,712 × 126,712
  4. Step 4: Simplify right side
    58,071x = 16,055,930,944
  5. Step 5: Solve for x
    x = 16,055,930,944/58,071
  6. Step 6: Final answer
    x = 276,487.94

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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.