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Finding the Third Proportional to 94,162.50 and 114,331.50

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Solution

The third proportional to 94,162.50 and 114,331.50 is: 138,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,162.50 : 114,331.50 = 114,331.50 : x
  2. Step 2: Convert to fraction form
    94,162.50/114,331.50 = 114,331.50/x
  3. Step 3: Cross multiply
    94,162.50x = 114,331.50 × 114,331.50
  4. Step 4: Simplify right side
    94,162.50x = 13,071,691,892.25
  5. Step 5: Solve for x
    x = 13,071,691,892.25/94,162.50
  6. Step 6: Final answer
    x = 138,820.57

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.