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Finding the Third Proportional to 102,349 and 155,113

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Solution

The third proportional to 102,349 and 155,113 is: 235,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349 : 155,113 = 155,113 : x
  2. Step 2: Convert to fraction form
    102,349/155,113 = 155,113/x
  3. Step 3: Cross multiply
    102,349x = 155,113 × 155,113
  4. Step 4: Simplify right side
    102,349x = 24,060,042,769
  5. Step 5: Solve for x
    x = 24,060,042,769/102,349
  6. Step 6: Final answer
    x = 235,078.44

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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.