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Finding the Third Proportional to 65,508.75 and 145,840.50

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Solution

The third proportional to 65,508.75 and 145,840.50 is: 324,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.75 : 145,840.50 = 145,840.50 : x
  2. Step 2: Convert to fraction form
    65,508.75/145,840.50 = 145,840.50/x
  3. Step 3: Cross multiply
    65,508.75x = 145,840.50 × 145,840.50
  4. Step 4: Simplify right side
    65,508.75x = 21,269,451,440.25
  5. Step 5: Solve for x
    x = 21,269,451,440.25/65,508.75
  6. Step 6: Final answer
    x = 324,681.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.