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Finding the Third Proportional to 64,212 and 94,458

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Solution

The third proportional to 64,212 and 94,458 is: 138,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212 : 94,458 = 94,458 : x
  2. Step 2: Convert to fraction form
    64,212/94,458 = 94,458/x
  3. Step 3: Cross multiply
    64,212x = 94,458 × 94,458
  4. Step 4: Simplify right side
    64,212x = 8,922,313,764
  5. Step 5: Solve for x
    x = 8,922,313,764/64,212
  6. Step 6: Final answer
    x = 138,950.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.