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Finding the Third Proportional to 96,717.75 and 210,039

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Solution

The third proportional to 96,717.75 and 210,039 is: 456,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,717.75 : 210,039 = 210,039 : x
  2. Step 2: Convert to fraction form
    96,717.75/210,039 = 210,039/x
  3. Step 3: Cross multiply
    96,717.75x = 210,039 × 210,039
  4. Step 4: Simplify right side
    96,717.75x = 44,116,381,521
  5. Step 5: Solve for x
    x = 44,116,381,521/96,717.75
  6. Step 6: Final answer
    x = 456,135.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.