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Finding the Third Proportional to 77,039.44 and 164,953.13

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Solution

The third proportional to 77,039.44 and 164,953.13 is: 353,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,039.44 : 164,953.13 = 164,953.13 : x
  2. Step 2: Convert to fraction form
    77,039.44/164,953.13 = 164,953.13/x
  3. Step 3: Cross multiply
    77,039.44x = 164,953.13 × 164,953.13
  4. Step 4: Simplify right side
    77,039.44x = 27,209,533,447.27
  5. Step 5: Solve for x
    x = 27,209,533,447.27/77,039.44
  6. Step 6: Final answer
    x = 353,189.67

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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.