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Finding the Third Proportional to 102,606 and 157,608

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Solution

The third proportional to 102,606 and 157,608 is: 242,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606 : 157,608 = 157,608 : x
  2. Step 2: Convert to fraction form
    102,606/157,608 = 157,608/x
  3. Step 3: Cross multiply
    102,606x = 157,608 × 157,608
  4. Step 4: Simplify right side
    102,606x = 24,840,281,664
  5. Step 5: Solve for x
    x = 24,840,281,664/102,606
  6. Step 6: Final answer
    x = 242,093.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.