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Finding the Third Proportional to 39,875.25 and 86,298.75

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Solution

The third proportional to 39,875.25 and 86,298.75 is: 186,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,875.25 : 86,298.75 = 86,298.75 : x
  2. Step 2: Convert to fraction form
    39,875.25/86,298.75 = 86,298.75/x
  3. Step 3: Cross multiply
    39,875.25x = 86,298.75 × 86,298.75
  4. Step 4: Simplify right side
    39,875.25x = 7,447,474,251.56
  5. Step 5: Solve for x
    x = 7,447,474,251.56/39,875.25
  6. Step 6: Final answer
    x = 186,769.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.