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Finding the Third Proportional to 77,614.50 and 118,649

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Solution

The third proportional to 77,614.50 and 118,649 is: 181,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614.50 : 118,649 = 118,649 : x
  2. Step 2: Convert to fraction form
    77,614.50/118,649 = 118,649/x
  3. Step 3: Cross multiply
    77,614.50x = 118,649 × 118,649
  4. Step 4: Simplify right side
    77,614.50x = 14,077,585,201
  5. Step 5: Solve for x
    x = 14,077,585,201/77,614.50
  6. Step 6: Final answer
    x = 181,378.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.