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Finding the Third Proportional to 39,702 and 85,964.25

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Solution

The third proportional to 39,702 and 85,964.25 is: 186,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 85,964.25 = 85,964.25 : x
  2. Step 2: Convert to fraction form
    39,702/85,964.25 = 85,964.25/x
  3. Step 3: Cross multiply
    39,702x = 85,964.25 × 85,964.25
  4. Step 4: Simplify right side
    39,702x = 7,389,852,278.06
  5. Step 5: Solve for x
    x = 7,389,852,278.06/39,702
  6. Step 6: Final answer
    x = 186,133.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.