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Finding the Third Proportional to 134,505 and 195,421

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Solution

The third proportional to 134,505 and 195,421 is: 283,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,505 : 195,421 = 195,421 : x
  2. Step 2: Convert to fraction form
    134,505/195,421 = 195,421/x
  3. Step 3: Cross multiply
    134,505x = 195,421 × 195,421
  4. Step 4: Simplify right side
    134,505x = 38,189,367,241
  5. Step 5: Solve for x
    x = 38,189,367,241/134,505
  6. Step 6: Final answer
    x = 283,925.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.