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Finding the Third Proportional to 75,805 and 118,560

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Solution

The third proportional to 75,805 and 118,560 is: 185,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,805 : 118,560 = 118,560 : x
  2. Step 2: Convert to fraction form
    75,805/118,560 = 118,560/x
  3. Step 3: Cross multiply
    75,805x = 118,560 × 118,560
  4. Step 4: Simplify right side
    75,805x = 14,056,473,600
  5. Step 5: Solve for x
    x = 14,056,473,600/75,805
  6. Step 6: Final answer
    x = 185,429.37

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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.