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Finding the Third Proportional to 62,368 and 133,582

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Solution

The third proportional to 62,368 and 133,582 is: 286,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,368 : 133,582 = 133,582 : x
  2. Step 2: Convert to fraction form
    62,368/133,582 = 133,582/x
  3. Step 3: Cross multiply
    62,368x = 133,582 × 133,582
  4. Step 4: Simplify right side
    62,368x = 17,844,150,724
  5. Step 5: Solve for x
    x = 17,844,150,724/62,368
  6. Step 6: Final answer
    x = 286,110.68

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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.