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Finding the Third Proportional to 72,837 and 158,492.25

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Solution

The third proportional to 72,837 and 158,492.25 is: 344,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837 : 158,492.25 = 158,492.25 : x
  2. Step 2: Convert to fraction form
    72,837/158,492.25 = 158,492.25/x
  3. Step 3: Cross multiply
    72,837x = 158,492.25 × 158,492.25
  4. Step 4: Simplify right side
    72,837x = 25,119,793,310.06
  5. Step 5: Solve for x
    x = 25,119,793,310.06/72,837
  6. Step 6: Final answer
    x = 344,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.