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Finding the Third Proportional to 75,675 and 159,192.25

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Solution

The third proportional to 75,675 and 159,192.25 is: 334,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675 : 159,192.25 = 159,192.25 : x
  2. Step 2: Convert to fraction form
    75,675/159,192.25 = 159,192.25/x
  3. Step 3: Cross multiply
    75,675x = 159,192.25 × 159,192.25
  4. Step 4: Simplify right side
    75,675x = 25,342,172,460.06
  5. Step 5: Solve for x
    x = 25,342,172,460.06/75,675
  6. Step 6: Final answer
    x = 334,881.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.