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Finding the Third Proportional to 61,504 and 100,432

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Solution

The third proportional to 61,504 and 100,432 is: 163,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,504 : 100,432 = 100,432 : x
  2. Step 2: Convert to fraction form
    61,504/100,432 = 100,432/x
  3. Step 3: Cross multiply
    61,504x = 100,432 × 100,432
  4. Step 4: Simplify right side
    61,504x = 10,086,586,624
  5. Step 5: Solve for x
    x = 10,086,586,624/61,504
  6. Step 6: Final answer
    x = 163,998.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.