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Finding the Third Proportional to 34,125 and 73,798

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Solution

The third proportional to 34,125 and 73,798 is: 159,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125 : 73,798 = 73,798 : x
  2. Step 2: Convert to fraction form
    34,125/73,798 = 73,798/x
  3. Step 3: Cross multiply
    34,125x = 73,798 × 73,798
  4. Step 4: Simplify right side
    34,125x = 5,446,144,804
  5. Step 5: Solve for x
    x = 5,446,144,804/34,125
  6. Step 6: Final answer
    x = 159,593.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.