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Finding the Third Proportional to 75,781.50 and 118,884

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Solution

The third proportional to 75,781.50 and 118,884 is: 186,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,781.50 : 118,884 = 118,884 : x
  2. Step 2: Convert to fraction form
    75,781.50/118,884 = 118,884/x
  3. Step 3: Cross multiply
    75,781.50x = 118,884 × 118,884
  4. Step 4: Simplify right side
    75,781.50x = 14,133,405,456
  5. Step 5: Solve for x
    x = 14,133,405,456/75,781.50
  6. Step 6: Final answer
    x = 186,502.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.