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Finding the Third Proportional to 92,287.50 and 121,181.25

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Solution

The third proportional to 92,287.50 and 121,181.25 is: 159,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,287.50 : 121,181.25 = 121,181.25 : x
  2. Step 2: Convert to fraction form
    92,287.50/121,181.25 = 121,181.25/x
  3. Step 3: Cross multiply
    92,287.50x = 121,181.25 × 121,181.25
  4. Step 4: Simplify right side
    92,287.50x = 14,684,895,351.56
  5. Step 5: Solve for x
    x = 14,684,895,351.56/92,287.50
  6. Step 6: Final answer
    x = 159,121.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.