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Finding the Third Proportional to 65,078.50 and 98,311.50

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Solution

The third proportional to 65,078.50 and 98,311.50 is: 148,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.50 : 98,311.50 = 98,311.50 : x
  2. Step 2: Convert to fraction form
    65,078.50/98,311.50 = 98,311.50/x
  3. Step 3: Cross multiply
    65,078.50x = 98,311.50 × 98,311.50
  4. Step 4: Simplify right side
    65,078.50x = 9,665,151,032.25
  5. Step 5: Solve for x
    x = 9,665,151,032.25/65,078.50
  6. Step 6: Final answer
    x = 148,515.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.