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Finding the Third Proportional to 129,848 and 202,973

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Solution

The third proportional to 129,848 and 202,973 is: 317,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848 : 202,973 = 202,973 : x
  2. Step 2: Convert to fraction form
    129,848/202,973 = 202,973/x
  3. Step 3: Cross multiply
    129,848x = 202,973 × 202,973
  4. Step 4: Simplify right side
    129,848x = 41,198,038,729
  5. Step 5: Solve for x
    x = 41,198,038,729/129,848
  6. Step 6: Final answer
    x = 317,278.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.