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Finding the Third Proportional to 65,475 and 139,533.75

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Solution

The third proportional to 65,475 and 139,533.75 is: 297,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,475 : 139,533.75 = 139,533.75 : x
  2. Step 2: Convert to fraction form
    65,475/139,533.75 = 139,533.75/x
  3. Step 3: Cross multiply
    65,475x = 139,533.75 × 139,533.75
  4. Step 4: Simplify right side
    65,475x = 19,469,667,389.06
  5. Step 5: Solve for x
    x = 19,469,667,389.06/65,475
  6. Step 6: Final answer
    x = 297,360.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.