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Finding the Third Proportional to 94,182 and 139,642

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Solution

The third proportional to 94,182 and 139,642 is: 207,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,182 : 139,642 = 139,642 : x
  2. Step 2: Convert to fraction form
    94,182/139,642 = 139,642/x
  3. Step 3: Cross multiply
    94,182x = 139,642 × 139,642
  4. Step 4: Simplify right side
    94,182x = 19,499,888,164
  5. Step 5: Solve for x
    x = 19,499,888,164/94,182
  6. Step 6: Final answer
    x = 207,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.