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Finding the Third Proportional to 53,609.77 and 114,581.67

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Solution

The third proportional to 53,609.77 and 114,581.67 is: 244,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609.77 : 114,581.67 = 114,581.67 : x
  2. Step 2: Convert to fraction form
    53,609.77/114,581.67 = 114,581.67/x
  3. Step 3: Cross multiply
    53,609.77x = 114,581.67 × 114,581.67
  4. Step 4: Simplify right side
    53,609.77x = 13,128,959,529.67
  5. Step 5: Solve for x
    x = 13,128,959,529.67/53,609.77
  6. Step 6: Final answer
    x = 244,898.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.