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Finding the Third Proportional to 63,410 and 133,972

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Solution

The third proportional to 63,410 and 133,972 is: 283,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,410 : 133,972 = 133,972 : x
  2. Step 2: Convert to fraction form
    63,410/133,972 = 133,972/x
  3. Step 3: Cross multiply
    63,410x = 133,972 × 133,972
  4. Step 4: Simplify right side
    63,410x = 17,948,496,784
  5. Step 5: Solve for x
    x = 17,948,496,784/63,410
  6. Step 6: Final answer
    x = 283,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.