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Finding the Third Proportional to 75,807 and 118,563

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Solution

The third proportional to 75,807 and 118,563 is: 185,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807 : 118,563 = 118,563 : x
  2. Step 2: Convert to fraction form
    75,807/118,563 = 118,563/x
  3. Step 3: Cross multiply
    75,807x = 118,563 × 118,563
  4. Step 4: Simplify right side
    75,807x = 14,057,184,969
  5. Step 5: Solve for x
    x = 14,057,184,969/75,807
  6. Step 6: Final answer
    x = 185,433.86

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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.