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Finding the Third Proportional to 58,676.13 and 126,705.22

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Solution

The third proportional to 58,676.13 and 126,705.22 is: 273,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,676.13 : 126,705.22 = 126,705.22 : x
  2. Step 2: Convert to fraction form
    58,676.13/126,705.22 = 126,705.22/x
  3. Step 3: Cross multiply
    58,676.13x = 126,705.22 × 126,705.22
  4. Step 4: Simplify right side
    58,676.13x = 16,054,212,458.49
  5. Step 5: Solve for x
    x = 16,054,212,458.49/58,676.13
  6. Step 6: Final answer
    x = 273,607.24

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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.