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Finding the Third Proportional to 86,833 and 131,173.50

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Solution

The third proportional to 86,833 and 131,173.50 is: 198,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,833 : 131,173.50 = 131,173.50 : x
  2. Step 2: Convert to fraction form
    86,833/131,173.50 = 131,173.50/x
  3. Step 3: Cross multiply
    86,833x = 131,173.50 × 131,173.50
  4. Step 4: Simplify right side
    86,833x = 17,206,487,102.25
  5. Step 5: Solve for x
    x = 17,206,487,102.25/86,833
  6. Step 6: Final answer
    x = 198,156.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.