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Finding the Third Proportional to 65,315.25 and 97,717.50

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Solution

The third proportional to 65,315.25 and 97,717.50 is: 146,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.25 : 97,717.50 = 97,717.50 : x
  2. Step 2: Convert to fraction form
    65,315.25/97,717.50 = 97,717.50/x
  3. Step 3: Cross multiply
    65,315.25x = 97,717.50 × 97,717.50
  4. Step 4: Simplify right side
    65,315.25x = 9,548,709,806.25
  5. Step 5: Solve for x
    x = 9,548,709,806.25/65,315.25
  6. Step 6: Final answer
    x = 146,194.19

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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.