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Finding the Third Proportional to 61,806.75 and 134,629.50

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Solution

The third proportional to 61,806.75 and 134,629.50 is: 293,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,806.75 : 134,629.50 = 134,629.50 : x
  2. Step 2: Convert to fraction form
    61,806.75/134,629.50 = 134,629.50/x
  3. Step 3: Cross multiply
    61,806.75x = 134,629.50 × 134,629.50
  4. Step 4: Simplify right side
    61,806.75x = 18,125,102,270.25
  5. Step 5: Solve for x
    x = 18,125,102,270.25/61,806.75
  6. Step 6: Final answer
    x = 293,254.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.