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Finding the Third Proportional to 64,642 and 94,836

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Solution

The third proportional to 64,642 and 94,836 is: 139,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642 : 94,836 = 94,836 : x
  2. Step 2: Convert to fraction form
    64,642/94,836 = 94,836/x
  3. Step 3: Cross multiply
    64,642x = 94,836 × 94,836
  4. Step 4: Simplify right side
    64,642x = 8,993,866,896
  5. Step 5: Solve for x
    x = 8,993,866,896/64,642
  6. Step 6: Final answer
    x = 139,133.49

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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.