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Finding the Third Proportional to 52,937 and 113,548

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Solution

The third proportional to 52,937 and 113,548 is: 243,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,937 : 113,548 = 113,548 : x
  2. Step 2: Convert to fraction form
    52,937/113,548 = 113,548/x
  3. Step 3: Cross multiply
    52,937x = 113,548 × 113,548
  4. Step 4: Simplify right side
    52,937x = 12,893,148,304
  5. Step 5: Solve for x
    x = 12,893,148,304/52,937
  6. Step 6: Final answer
    x = 243,556.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.