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Finding the Third Proportional to 64,633.50 and 138,739.50

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Solution

The third proportional to 64,633.50 and 138,739.50 is: 297,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,633.50 : 138,739.50 = 138,739.50 : x
  2. Step 2: Convert to fraction form
    64,633.50/138,739.50 = 138,739.50/x
  3. Step 3: Cross multiply
    64,633.50x = 138,739.50 × 138,739.50
  4. Step 4: Simplify right side
    64,633.50x = 19,248,648,860.25
  5. Step 5: Solve for x
    x = 19,248,648,860.25/64,633.50
  6. Step 6: Final answer
    x = 297,812.26

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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.