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Finding the Third Proportional to 120,173.63 and 259,615.13

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Solution

The third proportional to 120,173.63 and 259,615.13 is: 560,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,173.63 : 259,615.13 = 259,615.13 : x
  2. Step 2: Convert to fraction form
    120,173.63/259,615.13 = 259,615.13/x
  3. Step 3: Cross multiply
    120,173.63x = 259,615.13 × 259,615.13
  4. Step 4: Simplify right side
    120,173.63x = 67,400,013,128.77
  5. Step 5: Solve for x
    x = 67,400,013,128.77/120,173.63
  6. Step 6: Final answer
    x = 560,855.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.