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Finding the Third Proportional to 104,536 and 157,777

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Solution

The third proportional to 104,536 and 157,777 is: 238,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,536 : 157,777 = 157,777 : x
  2. Step 2: Convert to fraction form
    104,536/157,777 = 157,777/x
  3. Step 3: Cross multiply
    104,536x = 157,777 × 157,777
  4. Step 4: Simplify right side
    104,536x = 24,893,581,729
  5. Step 5: Solve for x
    x = 24,893,581,729/104,536
  6. Step 6: Final answer
    x = 238,134.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.