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Finding the Third Proportional to 135,053 and 196,657

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Solution

The third proportional to 135,053 and 196,657 is: 286,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,053 : 196,657 = 196,657 : x
  2. Step 2: Convert to fraction form
    135,053/196,657 = 196,657/x
  3. Step 3: Cross multiply
    135,053x = 196,657 × 196,657
  4. Step 4: Simplify right side
    135,053x = 38,673,975,649
  5. Step 5: Solve for x
    x = 38,673,975,649/135,053
  6. Step 6: Final answer
    x = 286,361.47

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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.