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Finding the Third Proportional to 65,687.50 and 101,905

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Solution

The third proportional to 65,687.50 and 101,905 is: 158,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,687.50 : 101,905 = 101,905 : x
  2. Step 2: Convert to fraction form
    65,687.50/101,905 = 101,905/x
  3. Step 3: Cross multiply
    65,687.50x = 101,905 × 101,905
  4. Step 4: Simplify right side
    65,687.50x = 10,384,629,025
  5. Step 5: Solve for x
    x = 10,384,629,025/65,687.50
  6. Step 6: Final answer
    x = 158,091.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.