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Finding the Third Proportional to 65,314.50 and 97,718.25

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Solution

The third proportional to 65,314.50 and 97,718.25 is: 146,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.50 : 97,718.25 = 97,718.25 : x
  2. Step 2: Convert to fraction form
    65,314.50/97,718.25 = 97,718.25/x
  3. Step 3: Cross multiply
    65,314.50x = 97,718.25 × 97,718.25
  4. Step 4: Simplify right side
    65,314.50x = 9,548,856,383.06
  5. Step 5: Solve for x
    x = 9,548,856,383.06/65,314.50
  6. Step 6: Final answer
    x = 146,198.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.