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Finding the Third Proportional to 65,887.50 and 159,240

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Solution

The third proportional to 65,887.50 and 159,240 is: 384,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,887.50 : 159,240 = 159,240 : x
  2. Step 2: Convert to fraction form
    65,887.50/159,240 = 159,240/x
  3. Step 3: Cross multiply
    65,887.50x = 159,240 × 159,240
  4. Step 4: Simplify right side
    65,887.50x = 25,357,377,600
  5. Step 5: Solve for x
    x = 25,357,377,600/65,887.50
  6. Step 6: Final answer
    x = 384,858.70

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.