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Finding the Third Proportional to 82,024 and 175,421

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Solution

The third proportional to 82,024 and 175,421 is: 375,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024 : 175,421 = 175,421 : x
  2. Step 2: Convert to fraction form
    82,024/175,421 = 175,421/x
  3. Step 3: Cross multiply
    82,024x = 175,421 × 175,421
  4. Step 4: Simplify right side
    82,024x = 30,772,527,241
  5. Step 5: Solve for x
    x = 30,772,527,241/82,024
  6. Step 6: Final answer
    x = 375,164.92

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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.