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Finding the Third Proportional to 65,425 and 100,703

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Solution

The third proportional to 65,425 and 100,703 is: 155,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,425 : 100,703 = 100,703 : x
  2. Step 2: Convert to fraction form
    65,425/100,703 = 100,703/x
  3. Step 3: Cross multiply
    65,425x = 100,703 × 100,703
  4. Step 4: Simplify right side
    65,425x = 10,141,094,209
  5. Step 5: Solve for x
    x = 10,141,094,209/65,425
  6. Step 6: Final answer
    x = 155,003.35

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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.