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Finding the Third Proportional to 64,236.63 and 138,315.63

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Solution

The third proportional to 64,236.63 and 138,315.63 is: 297,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,236.63 : 138,315.63 = 138,315.63 : x
  2. Step 2: Convert to fraction form
    64,236.63/138,315.63 = 138,315.63/x
  3. Step 3: Cross multiply
    64,236.63x = 138,315.63 × 138,315.63
  4. Step 4: Simplify right side
    64,236.63x = 19,131,212,119.14
  5. Step 5: Solve for x
    x = 19,131,212,119.14/64,236.63
  6. Step 6: Final answer
    x = 297,824.05

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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.