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Finding the Third Proportional to 63,192 and 135,009.75

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Solution

The third proportional to 63,192 and 135,009.75 is: 288,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,192 : 135,009.75 = 135,009.75 : x
  2. Step 2: Convert to fraction form
    63,192/135,009.75 = 135,009.75/x
  3. Step 3: Cross multiply
    63,192x = 135,009.75 × 135,009.75
  4. Step 4: Simplify right side
    63,192x = 18,227,632,595.06
  5. Step 5: Solve for x
    x = 18,227,632,595.06/63,192
  6. Step 6: Final answer
    x = 288,448.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.