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Finding the Third Proportional to 80,770.50 and 118,563

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Solution

The third proportional to 80,770.50 and 118,563 is: 174,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,770.50 : 118,563 = 118,563 : x
  2. Step 2: Convert to fraction form
    80,770.50/118,563 = 118,563/x
  3. Step 3: Cross multiply
    80,770.50x = 118,563 × 118,563
  4. Step 4: Simplify right side
    80,770.50x = 14,057,184,969
  5. Step 5: Solve for x
    x = 14,057,184,969/80,770.50
  6. Step 6: Final answer
    x = 174,038.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.