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Finding the Third Proportional to 65,196 and 95,940

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Solution

The third proportional to 65,196 and 95,940 is: 141,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196 : 95,940 = 95,940 : x
  2. Step 2: Convert to fraction form
    65,196/95,940 = 95,940/x
  3. Step 3: Cross multiply
    65,196x = 95,940 × 95,940
  4. Step 4: Simplify right side
    65,196x = 9,204,483,600
  5. Step 5: Solve for x
    x = 9,204,483,600/65,196
  6. Step 6: Final answer
    x = 141,181.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.