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Finding the Third Proportional to 123,513.19 and 265,750.88

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Solution

The third proportional to 123,513.19 and 265,750.88 is: 571,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,513.19 : 265,750.88 = 265,750.88 : x
  2. Step 2: Convert to fraction form
    123,513.19/265,750.88 = 265,750.88/x
  3. Step 3: Cross multiply
    123,513.19x = 265,750.88 × 265,750.88
  4. Step 4: Simplify right side
    123,513.19x = 70,623,527,563.27
  5. Step 5: Solve for x
    x = 70,623,527,563.27/123,513.19
  6. Step 6: Final answer
    x = 571,789.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.