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Finding the Third Proportional to 63,144 and 128,464

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Solution

The third proportional to 63,144 and 128,464 is: 261,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,144 : 128,464 = 128,464 : x
  2. Step 2: Convert to fraction form
    63,144/128,464 = 128,464/x
  3. Step 3: Cross multiply
    63,144x = 128,464 × 128,464
  4. Step 4: Simplify right side
    63,144x = 16,502,999,296
  5. Step 5: Solve for x
    x = 16,502,999,296/63,144
  6. Step 6: Final answer
    x = 261,354.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.