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Finding the Third Proportional to 58,749.50 and 120,610

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Solution

The third proportional to 58,749.50 and 120,610 is: 247,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,749.50 : 120,610 = 120,610 : x
  2. Step 2: Convert to fraction form
    58,749.50/120,610 = 120,610/x
  3. Step 3: Cross multiply
    58,749.50x = 120,610 × 120,610
  4. Step 4: Simplify right side
    58,749.50x = 14,546,772,100
  5. Step 5: Solve for x
    x = 14,546,772,100/58,749.50
  6. Step 6: Final answer
    x = 247,606.74

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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.