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Finding the Third Proportional to 106,476 and 235,105.50

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Solution

The third proportional to 106,476 and 235,105.50 is: 519,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,476 : 235,105.50 = 235,105.50 : x
  2. Step 2: Convert to fraction form
    106,476/235,105.50 = 235,105.50/x
  3. Step 3: Cross multiply
    106,476x = 235,105.50 × 235,105.50
  4. Step 4: Simplify right side
    106,476x = 55,274,596,130.25
  5. Step 5: Solve for x
    x = 55,274,596,130.25/106,476
  6. Step 6: Final answer
    x = 519,127.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.