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Finding the Third Proportional to 106,516 and 224,072

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Solution

The third proportional to 106,516 and 224,072 is: 471,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,516 : 224,072 = 224,072 : x
  2. Step 2: Convert to fraction form
    106,516/224,072 = 224,072/x
  3. Step 3: Cross multiply
    106,516x = 224,072 × 224,072
  4. Step 4: Simplify right side
    106,516x = 50,208,261,184
  5. Step 5: Solve for x
    x = 50,208,261,184/106,516
  6. Step 6: Final answer
    x = 471,368.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.