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Finding the Third Proportional to 62,352 and 133,458

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Solution

The third proportional to 62,352 and 133,458 is: 285,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,352 : 133,458 = 133,458 : x
  2. Step 2: Convert to fraction form
    62,352/133,458 = 133,458/x
  3. Step 3: Cross multiply
    62,352x = 133,458 × 133,458
  4. Step 4: Simplify right side
    62,352x = 17,811,037,764
  5. Step 5: Solve for x
    x = 17,811,037,764/62,352
  6. Step 6: Final answer
    x = 285,653.03

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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.