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Finding the Third Proportional to 45,972 and 72,237

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Solution

The third proportional to 45,972 and 72,237 is: 113,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 72,237 = 72,237 : x
  2. Step 2: Convert to fraction form
    45,972/72,237 = 72,237/x
  3. Step 3: Cross multiply
    45,972x = 72,237 × 72,237
  4. Step 4: Simplify right side
    45,972x = 5,218,184,169
  5. Step 5: Solve for x
    x = 5,218,184,169/45,972
  6. Step 6: Final answer
    x = 113,507.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.