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Finding the Third Proportional to 64,744.31 and 94,633.31

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Solution

The third proportional to 64,744.31 and 94,633.31 is: 138,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,744.31 : 94,633.31 = 94,633.31 : x
  2. Step 2: Convert to fraction form
    64,744.31/94,633.31 = 94,633.31/x
  3. Step 3: Cross multiply
    64,744.31x = 94,633.31 × 94,633.31
  4. Step 4: Simplify right side
    64,744.31x = 8,955,463,834.72
  5. Step 5: Solve for x
    x = 8,955,463,834.72/64,744.31
  6. Step 6: Final answer
    x = 138,320.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.