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Finding the Third Proportional to 52,590 and 112,652

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Solution

The third proportional to 52,590 and 112,652 is: 241,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590 : 112,652 = 112,652 : x
  2. Step 2: Convert to fraction form
    52,590/112,652 = 112,652/x
  3. Step 3: Cross multiply
    52,590x = 112,652 × 112,652
  4. Step 4: Simplify right side
    52,590x = 12,690,473,104
  5. Step 5: Solve for x
    x = 12,690,473,104/52,590
  6. Step 6: Final answer
    x = 241,309.62

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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.