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Finding the Third Proportional to 53,338.50 and 128,000.25

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Solution

The third proportional to 53,338.50 and 128,000.25 is: 307,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338.50 : 128,000.25 = 128,000.25 : x
  2. Step 2: Convert to fraction form
    53,338.50/128,000.25 = 128,000.25/x
  3. Step 3: Cross multiply
    53,338.50x = 128,000.25 × 128,000.25
  4. Step 4: Simplify right side
    53,338.50x = 16,384,064,000.06
  5. Step 5: Solve for x
    x = 16,384,064,000.06/53,338.50
  6. Step 6: Final answer
    x = 307,171.44

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.