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Finding the Third Proportional to 102,296 and 155,580

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Solution

The third proportional to 102,296 and 155,580 is: 236,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296 : 155,580 = 155,580 : x
  2. Step 2: Convert to fraction form
    102,296/155,580 = 155,580/x
  3. Step 3: Cross multiply
    102,296x = 155,580 × 155,580
  4. Step 4: Simplify right side
    102,296x = 24,205,136,400
  5. Step 5: Solve for x
    x = 24,205,136,400/102,296
  6. Step 6: Final answer
    x = 236,618.60

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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.