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Finding the Third Proportional to 106,164 and 232,017

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Solution

The third proportional to 106,164 and 232,017 is: 507,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164 : 232,017 = 232,017 : x
  2. Step 2: Convert to fraction form
    106,164/232,017 = 232,017/x
  3. Step 3: Cross multiply
    106,164x = 232,017 × 232,017
  4. Step 4: Simplify right side
    106,164x = 53,831,888,289
  5. Step 5: Solve for x
    x = 53,831,888,289/106,164
  6. Step 6: Final answer
    x = 507,063.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.