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Finding the Third Proportional to 104,536 and 159,262

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Solution

The third proportional to 104,536 and 159,262 is: 242,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,536 : 159,262 = 159,262 : x
  2. Step 2: Convert to fraction form
    104,536/159,262 = 159,262/x
  3. Step 3: Cross multiply
    104,536x = 159,262 × 159,262
  4. Step 4: Simplify right side
    104,536x = 25,364,384,644
  5. Step 5: Solve for x
    x = 25,364,384,644/104,536
  6. Step 6: Final answer
    x = 242,637.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.