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Finding the Third Proportional to 77,407.50 and 114,675

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Solution

The third proportional to 77,407.50 and 114,675 is: 169,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.50 : 114,675 = 114,675 : x
  2. Step 2: Convert to fraction form
    77,407.50/114,675 = 114,675/x
  3. Step 3: Cross multiply
    77,407.50x = 114,675 × 114,675
  4. Step 4: Simplify right side
    77,407.50x = 13,150,355,625
  5. Step 5: Solve for x
    x = 13,150,355,625/77,407.50
  6. Step 6: Final answer
    x = 169,884.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.