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Finding the Third Proportional to 52,623 and 112,718

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Solution

The third proportional to 52,623 and 112,718 is: 241,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,623 : 112,718 = 112,718 : x
  2. Step 2: Convert to fraction form
    52,623/112,718 = 112,718/x
  3. Step 3: Cross multiply
    52,623x = 112,718 × 112,718
  4. Step 4: Simplify right side
    52,623x = 12,705,347,524
  5. Step 5: Solve for x
    x = 12,705,347,524/52,623
  6. Step 6: Final answer
    x = 241,440.96

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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.