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Finding the Third Proportional to 122,851.69 and 252,461.81

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Solution

The third proportional to 122,851.69 and 252,461.81 is: 518,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851.69 : 252,461.81 = 252,461.81 : x
  2. Step 2: Convert to fraction form
    122,851.69/252,461.81 = 252,461.81/x
  3. Step 3: Cross multiply
    122,851.69x = 252,461.81 × 252,461.81
  4. Step 4: Simplify right side
    122,851.69x = 63,736,966,770.79
  5. Step 5: Solve for x
    x = 63,736,966,770.79/122,851.69
  6. Step 6: Final answer
    x = 518,812.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.