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Finding the Third Proportional to 123,588 and 271,239

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Solution

The third proportional to 123,588 and 271,239 is: 595,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,588 : 271,239 = 271,239 : x
  2. Step 2: Convert to fraction form
    123,588/271,239 = 271,239/x
  3. Step 3: Cross multiply
    123,588x = 271,239 × 271,239
  4. Step 4: Simplify right side
    123,588x = 73,570,595,121
  5. Step 5: Solve for x
    x = 73,570,595,121/123,588
  6. Step 6: Final answer
    x = 595,289.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.