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Finding the Third Proportional to 75,805.88 and 118,562.06

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Solution

The third proportional to 75,805.88 and 118,562.06 is: 185,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,805.88 : 118,562.06 = 118,562.06 : x
  2. Step 2: Convert to fraction form
    75,805.88/118,562.06 = 118,562.06/x
  3. Step 3: Cross multiply
    75,805.88x = 118,562.06 × 118,562.06
  4. Step 4: Simplify right side
    75,805.88x = 14,056,962,664.25
  5. Step 5: Solve for x
    x = 14,056,962,664.25/75,805.88
  6. Step 6: Final answer
    x = 185,433.68

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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.