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Finding the Third Proportional to 64,188.42 and 138,525.82

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Solution

The third proportional to 64,188.42 and 138,525.82 is: 298,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,188.42 : 138,525.82 = 138,525.82 : x
  2. Step 2: Convert to fraction form
    64,188.42/138,525.82 = 138,525.82/x
  3. Step 3: Cross multiply
    64,188.42x = 138,525.82 × 138,525.82
  4. Step 4: Simplify right side
    64,188.42x = 19,189,402,893.25
  5. Step 5: Solve for x
    x = 19,189,402,893.25/64,188.42
  6. Step 6: Final answer
    x = 298,954.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.