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Finding the Third Proportional to 62,330 and 133,516

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Solution

The third proportional to 62,330 and 133,516 is: 286,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,330 : 133,516 = 133,516 : x
  2. Step 2: Convert to fraction form
    62,330/133,516 = 133,516/x
  3. Step 3: Cross multiply
    62,330x = 133,516 × 133,516
  4. Step 4: Simplify right side
    62,330x = 17,826,522,256
  5. Step 5: Solve for x
    x = 17,826,522,256/62,330
  6. Step 6: Final answer
    x = 286,002.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.