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Finding the Third Proportional to 59,814 and 128,844

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Solution

The third proportional to 59,814 and 128,844 is: 277,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,814 : 128,844 = 128,844 : x
  2. Step 2: Convert to fraction form
    59,814/128,844 = 128,844/x
  3. Step 3: Cross multiply
    59,814x = 128,844 × 128,844
  4. Step 4: Simplify right side
    59,814x = 16,600,776,336
  5. Step 5: Solve for x
    x = 16,600,776,336/59,814
  6. Step 6: Final answer
    x = 277,539.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.