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Finding the Third Proportional to 57,371 and 121,294

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Solution

The third proportional to 57,371 and 121,294 is: 256,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,371 : 121,294 = 121,294 : x
  2. Step 2: Convert to fraction form
    57,371/121,294 = 121,294/x
  3. Step 3: Cross multiply
    57,371x = 121,294 × 121,294
  4. Step 4: Simplify right side
    57,371x = 14,712,234,436
  5. Step 5: Solve for x
    x = 14,712,234,436/57,371
  6. Step 6: Final answer
    x = 256,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.