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Finding the Third Proportional to 64,204.88 and 138,291.75

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Solution

The third proportional to 64,204.88 and 138,291.75 is: 297,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,204.88 : 138,291.75 = 138,291.75 : x
  2. Step 2: Convert to fraction form
    64,204.88/138,291.75 = 138,291.75/x
  3. Step 3: Cross multiply
    64,204.88x = 138,291.75 × 138,291.75
  4. Step 4: Simplify right side
    64,204.88x = 19,124,608,118.06
  5. Step 5: Solve for x
    x = 19,124,608,118.06/64,204.88
  6. Step 6: Final answer
    x = 297,868.47

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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.