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Finding the Third Proportional to 75,786 and 110,352

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Solution

The third proportional to 75,786 and 110,352 is: 160,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 110,352 = 110,352 : x
  2. Step 2: Convert to fraction form
    75,786/110,352 = 110,352/x
  3. Step 3: Cross multiply
    75,786x = 110,352 × 110,352
  4. Step 4: Simplify right side
    75,786x = 12,177,563,904
  5. Step 5: Solve for x
    x = 12,177,563,904/75,786
  6. Step 6: Final answer
    x = 160,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.