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Finding the Third Proportional to 96,318 and 127,803.75

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Solution

The third proportional to 96,318 and 127,803.75 is: 169,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,318 : 127,803.75 = 127,803.75 : x
  2. Step 2: Convert to fraction form
    96,318/127,803.75 = 127,803.75/x
  3. Step 3: Cross multiply
    96,318x = 127,803.75 × 127,803.75
  4. Step 4: Simplify right side
    96,318x = 16,333,798,514.06
  5. Step 5: Solve for x
    x = 16,333,798,514.06/96,318
  6. Step 6: Final answer
    x = 169,581.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.