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Finding the Third Proportional to 78,240 and 117,735

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Solution

The third proportional to 78,240 and 117,735 is: 177,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240 : 117,735 = 117,735 : x
  2. Step 2: Convert to fraction form
    78,240/117,735 = 117,735/x
  3. Step 3: Cross multiply
    78,240x = 117,735 × 117,735
  4. Step 4: Simplify right side
    78,240x = 13,861,530,225
  5. Step 5: Solve for x
    x = 13,861,530,225/78,240
  6. Step 6: Final answer
    x = 177,166.80

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Why These Related Problems?

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