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Finding the Third Proportional to 123,594 and 271,251

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Solution

The third proportional to 123,594 and 271,251 is: 595,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,594 : 271,251 = 271,251 : x
  2. Step 2: Convert to fraction form
    123,594/271,251 = 271,251/x
  3. Step 3: Cross multiply
    123,594x = 271,251 × 271,251
  4. Step 4: Simplify right side
    123,594x = 73,577,105,001
  5. Step 5: Solve for x
    x = 73,577,105,001/123,594
  6. Step 6: Final answer
    x = 595,312.92

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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.