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Finding the Third Proportional to 58,082 and 85,421

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Solution

The third proportional to 58,082 and 85,421 is: 125,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,082 : 85,421 = 85,421 : x
  2. Step 2: Convert to fraction form
    58,082/85,421 = 85,421/x
  3. Step 3: Cross multiply
    58,082x = 85,421 × 85,421
  4. Step 4: Simplify right side
    58,082x = 7,296,747,241
  5. Step 5: Solve for x
    x = 7,296,747,241/58,082
  6. Step 6: Final answer
    x = 125,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.