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Finding the Third Proportional to 65,412 and 100,692

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Solution

The third proportional to 65,412 and 100,692 is: 155,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 100,692 = 100,692 : x
  2. Step 2: Convert to fraction form
    65,412/100,692 = 100,692/x
  3. Step 3: Cross multiply
    65,412x = 100,692 × 100,692
  4. Step 4: Simplify right side
    65,412x = 10,138,878,864
  5. Step 5: Solve for x
    x = 10,138,878,864/65,412
  6. Step 6: Final answer
    x = 155,000.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.