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Finding the Third Proportional to 104,463 and 159,143.25

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Solution

The third proportional to 104,463 and 159,143.25 is: 242,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,463 : 159,143.25 = 159,143.25 : x
  2. Step 2: Convert to fraction form
    104,463/159,143.25 = 159,143.25/x
  3. Step 3: Cross multiply
    104,463x = 159,143.25 × 159,143.25
  4. Step 4: Simplify right side
    104,463x = 25,326,574,020.56
  5. Step 5: Solve for x
    x = 25,326,574,020.56/104,463
  6. Step 6: Final answer
    x = 242,445.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.