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Finding the Third Proportional to 85,332.50 and 114,874

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Solution

The third proportional to 85,332.50 and 114,874 is: 154,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,332.50 : 114,874 = 114,874 : x
  2. Step 2: Convert to fraction form
    85,332.50/114,874 = 114,874/x
  3. Step 3: Cross multiply
    85,332.50x = 114,874 × 114,874
  4. Step 4: Simplify right side
    85,332.50x = 13,196,035,876
  5. Step 5: Solve for x
    x = 13,196,035,876/85,332.50
  6. Step 6: Final answer
    x = 154,642.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.