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Finding the Third Proportional to 102,861 and 154,575

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Solution

The third proportional to 102,861 and 154,575 is: 232,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861 : 154,575 = 154,575 : x
  2. Step 2: Convert to fraction form
    102,861/154,575 = 154,575/x
  3. Step 3: Cross multiply
    102,861x = 154,575 × 154,575
  4. Step 4: Simplify right side
    102,861x = 23,893,430,625
  5. Step 5: Solve for x
    x = 23,893,430,625/102,861
  6. Step 6: Final answer
    x = 232,288.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.