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Finding the Third Proportional to 61,610.63 and 137,254.50

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Solution

The third proportional to 61,610.63 and 137,254.50 is: 305,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,610.63 : 137,254.50 = 137,254.50 : x
  2. Step 2: Convert to fraction form
    61,610.63/137,254.50 = 137,254.50/x
  3. Step 3: Cross multiply
    61,610.63x = 137,254.50 × 137,254.50
  4. Step 4: Simplify right side
    61,610.63x = 18,838,797,770.25
  5. Step 5: Solve for x
    x = 18,838,797,770.25/61,610.63
  6. Step 6: Final answer
    x = 305,771.90

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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.