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Finding the Third Proportional to 106,164 and 250,263

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Solution

The third proportional to 106,164 and 250,263 is: 589,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164 : 250,263 = 250,263 : x
  2. Step 2: Convert to fraction form
    106,164/250,263 = 250,263/x
  3. Step 3: Cross multiply
    106,164x = 250,263 × 250,263
  4. Step 4: Simplify right side
    106,164x = 62,631,569,169
  5. Step 5: Solve for x
    x = 62,631,569,169/106,164
  6. Step 6: Final answer
    x = 589,951.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.