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Finding the Third Proportional to 64,541.25 and 138,971.25

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Solution

The third proportional to 64,541.25 and 138,971.25 is: 299,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,541.25 : 138,971.25 = 138,971.25 : x
  2. Step 2: Convert to fraction form
    64,541.25/138,971.25 = 138,971.25/x
  3. Step 3: Cross multiply
    64,541.25x = 138,971.25 × 138,971.25
  4. Step 4: Simplify right side
    64,541.25x = 19,313,008,326.56
  5. Step 5: Solve for x
    x = 19,313,008,326.56/64,541.25
  6. Step 6: Final answer
    x = 299,235.11

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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.