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Finding the Third Proportional to 100,410.75 and 155,475

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Solution

The third proportional to 100,410.75 and 155,475 is: 240,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.75 : 155,475 = 155,475 : x
  2. Step 2: Convert to fraction form
    100,410.75/155,475 = 155,475/x
  3. Step 3: Cross multiply
    100,410.75x = 155,475 × 155,475
  4. Step 4: Simplify right side
    100,410.75x = 24,172,475,625
  5. Step 5: Solve for x
    x = 24,172,475,625/100,410.75
  6. Step 6: Final answer
    x = 240,735.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.