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Finding the Third Proportional to 123,159.75 and 265,311

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Solution

The third proportional to 123,159.75 and 265,311 is: 571,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.75 : 265,311 = 265,311 : x
  2. Step 2: Convert to fraction form
    123,159.75/265,311 = 265,311/x
  3. Step 3: Cross multiply
    123,159.75x = 265,311 × 265,311
  4. Step 4: Simplify right side
    123,159.75x = 70,389,926,721
  5. Step 5: Solve for x
    x = 70,389,926,721/123,159.75
  6. Step 6: Final answer
    x = 571,533.53

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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.