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Finding the Third Proportional to 64,523.25 and 138,938.63

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Solution

The third proportional to 64,523.25 and 138,938.63 is: 299,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,523.25 : 138,938.63 = 138,938.63 : x
  2. Step 2: Convert to fraction form
    64,523.25/138,938.63 = 138,938.63/x
  3. Step 3: Cross multiply
    64,523.25x = 138,938.63 × 138,938.63
  4. Step 4: Simplify right side
    64,523.25x = 19,303,941,516.89
  5. Step 5: Solve for x
    x = 19,303,941,516.89/64,523.25
  6. Step 6: Final answer
    x = 299,178.07

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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.