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Finding the Third Proportional to 58,749.47 and 120,609.84

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Solution

The third proportional to 58,749.47 and 120,609.84 is: 247,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,749.47 : 120,609.84 = 120,609.84 : x
  2. Step 2: Convert to fraction form
    58,749.47/120,609.84 = 120,609.84/x
  3. Step 3: Cross multiply
    58,749.47x = 120,609.84 × 120,609.84
  4. Step 4: Simplify right side
    58,749.47x = 14,546,734,409.40
  5. Step 5: Solve for x
    x = 14,546,734,409.40/58,749.47
  6. Step 6: Final answer
    x = 247,606.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.