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Finding the Third Proportional to 65,333.25 and 95,478.75

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Solution

The third proportional to 65,333.25 and 95,478.75 is: 139,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,333.25 : 95,478.75 = 95,478.75 : x
  2. Step 2: Convert to fraction form
    65,333.25/95,478.75 = 95,478.75/x
  3. Step 3: Cross multiply
    65,333.25x = 95,478.75 × 95,478.75
  4. Step 4: Simplify right side
    65,333.25x = 9,116,191,701.56
  5. Step 5: Solve for x
    x = 9,116,191,701.56/65,333.25
  6. Step 6: Final answer
    x = 139,533.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.