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Finding the Third Proportional to 61,404 and 128,994

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Solution

The third proportional to 61,404 and 128,994 is: 270,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,404 : 128,994 = 128,994 : x
  2. Step 2: Convert to fraction form
    61,404/128,994 = 128,994/x
  3. Step 3: Cross multiply
    61,404x = 128,994 × 128,994
  4. Step 4: Simplify right side
    61,404x = 16,639,452,036
  5. Step 5: Solve for x
    x = 16,639,452,036/61,404
  6. Step 6: Final answer
    x = 270,983.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.