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Finding the Third Proportional to 52,346 and 113,548

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Solution

The third proportional to 52,346 and 113,548 is: 246,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346 : 113,548 = 113,548 : x
  2. Step 2: Convert to fraction form
    52,346/113,548 = 113,548/x
  3. Step 3: Cross multiply
    52,346x = 113,548 × 113,548
  4. Step 4: Simplify right side
    52,346x = 12,893,148,304
  5. Step 5: Solve for x
    x = 12,893,148,304/52,346
  6. Step 6: Final answer
    x = 246,306.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.