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Finding the Third Proportional to 106,032 and 155,484

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Solution

The third proportional to 106,032 and 155,484 is: 227,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032 : 155,484 = 155,484 : x
  2. Step 2: Convert to fraction form
    106,032/155,484 = 155,484/x
  3. Step 3: Cross multiply
    106,032x = 155,484 × 155,484
  4. Step 4: Simplify right side
    106,032x = 24,175,274,256
  5. Step 5: Solve for x
    x = 24,175,274,256/106,032
  6. Step 6: Final answer
    x = 227,999.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.