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Finding the Third Proportional to 52,842 and 106,548

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Solution

The third proportional to 52,842 and 106,548 is: 214,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 106,548 = 106,548 : x
  2. Step 2: Convert to fraction form
    52,842/106,548 = 106,548/x
  3. Step 3: Cross multiply
    52,842x = 106,548 × 106,548
  4. Step 4: Simplify right side
    52,842x = 11,352,476,304
  5. Step 5: Solve for x
    x = 11,352,476,304/52,842
  6. Step 6: Final answer
    x = 214,838.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.