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Finding the Third Proportional to 37,373 and 82,129

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Solution

The third proportional to 37,373 and 82,129 is: 180,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,373 : 82,129 = 82,129 : x
  2. Step 2: Convert to fraction form
    37,373/82,129 = 82,129/x
  3. Step 3: Cross multiply
    37,373x = 82,129 × 82,129
  4. Step 4: Simplify right side
    37,373x = 6,745,172,641
  5. Step 5: Solve for x
    x = 6,745,172,641/37,373
  6. Step 6: Final answer
    x = 180,482.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.