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Finding the Third Proportional to 106,046 and 155,504

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Solution

The third proportional to 106,046 and 155,504 is: 228,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046 : 155,504 = 155,504 : x
  2. Step 2: Convert to fraction form
    106,046/155,504 = 155,504/x
  3. Step 3: Cross multiply
    106,046x = 155,504 × 155,504
  4. Step 4: Simplify right side
    106,046x = 24,181,494,016
  5. Step 5: Solve for x
    x = 24,181,494,016/106,046
  6. Step 6: Final answer
    x = 228,028.35

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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.