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Finding the Third Proportional to 52,596 and 107,646

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Solution

The third proportional to 52,596 and 107,646 is: 220,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596 : 107,646 = 107,646 : x
  2. Step 2: Convert to fraction form
    52,596/107,646 = 107,646/x
  3. Step 3: Cross multiply
    52,596x = 107,646 × 107,646
  4. Step 4: Simplify right side
    52,596x = 11,587,661,316
  5. Step 5: Solve for x
    x = 11,587,661,316/52,596
  6. Step 6: Final answer
    x = 220,314.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.