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Finding the Third Proportional to 52,459 and 113,294

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Solution

The third proportional to 52,459 and 113,294 is: 244,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459 : 113,294 = 113,294 : x
  2. Step 2: Convert to fraction form
    52,459/113,294 = 113,294/x
  3. Step 3: Cross multiply
    52,459x = 113,294 × 113,294
  4. Step 4: Simplify right side
    52,459x = 12,835,530,436
  5. Step 5: Solve for x
    x = 12,835,530,436/52,459
  6. Step 6: Final answer
    x = 244,677.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.