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Finding the Third Proportional to 62,371 and 133,490

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Solution

The third proportional to 62,371 and 133,490 is: 285,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,371 : 133,490 = 133,490 : x
  2. Step 2: Convert to fraction form
    62,371/133,490 = 133,490/x
  3. Step 3: Cross multiply
    62,371x = 133,490 × 133,490
  4. Step 4: Simplify right side
    62,371x = 17,819,580,100
  5. Step 5: Solve for x
    x = 17,819,580,100/62,371
  6. Step 6: Final answer
    x = 285,702.97

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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.