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Finding the Third Proportional to 75,645 and 118,057.50

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Solution

The third proportional to 75,645 and 118,057.50 is: 184,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645 : 118,057.50 = 118,057.50 : x
  2. Step 2: Convert to fraction form
    75,645/118,057.50 = 118,057.50/x
  3. Step 3: Cross multiply
    75,645x = 118,057.50 × 118,057.50
  4. Step 4: Simplify right side
    75,645x = 13,937,573,306.25
  5. Step 5: Solve for x
    x = 13,937,573,306.25/75,645
  6. Step 6: Final answer
    x = 184,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.