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Finding the Third Proportional to 129,622 and 185,357

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Solution

The third proportional to 129,622 and 185,357 is: 265,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,622 : 185,357 = 185,357 : x
  2. Step 2: Convert to fraction form
    129,622/185,357 = 185,357/x
  3. Step 3: Cross multiply
    129,622x = 185,357 × 185,357
  4. Step 4: Simplify right side
    129,622x = 34,357,217,449
  5. Step 5: Solve for x
    x = 34,357,217,449/129,622
  6. Step 6: Final answer
    x = 265,056.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.