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Finding the Third Proportional to 63,497 and 100,458

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Solution

The third proportional to 63,497 and 100,458 is: 158,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,497 : 100,458 = 100,458 : x
  2. Step 2: Convert to fraction form
    63,497/100,458 = 100,458/x
  3. Step 3: Cross multiply
    63,497x = 100,458 × 100,458
  4. Step 4: Simplify right side
    63,497x = 10,091,809,764
  5. Step 5: Solve for x
    x = 10,091,809,764/63,497
  6. Step 6: Final answer
    x = 158,933.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.