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Finding the Third Proportional to 94,638 and 141,309

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Solution

The third proportional to 94,638 and 141,309 is: 210,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,638 : 141,309 = 141,309 : x
  2. Step 2: Convert to fraction form
    94,638/141,309 = 141,309/x
  3. Step 3: Cross multiply
    94,638x = 141,309 × 141,309
  4. Step 4: Simplify right side
    94,638x = 19,968,233,481
  5. Step 5: Solve for x
    x = 19,968,233,481/94,638
  6. Step 6: Final answer
    x = 210,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.