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Finding the Third Proportional to 75,951 and 163,587.75

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Solution

The third proportional to 75,951 and 163,587.75 is: 352,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951 : 163,587.75 = 163,587.75 : x
  2. Step 2: Convert to fraction form
    75,951/163,587.75 = 163,587.75/x
  3. Step 3: Cross multiply
    75,951x = 163,587.75 × 163,587.75
  4. Step 4: Simplify right side
    75,951x = 26,760,951,950.06
  5. Step 5: Solve for x
    x = 26,760,951,950.06/75,951
  6. Step 6: Final answer
    x = 352,344.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.