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Finding the Third Proportional to 63,012 and 128,904

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Solution

The third proportional to 63,012 and 128,904 is: 263,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,012 : 128,904 = 128,904 : x
  2. Step 2: Convert to fraction form
    63,012/128,904 = 128,904/x
  3. Step 3: Cross multiply
    63,012x = 128,904 × 128,904
  4. Step 4: Simplify right side
    63,012x = 16,616,241,216
  5. Step 5: Solve for x
    x = 16,616,241,216/63,012
  6. Step 6: Final answer
    x = 263,699.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.