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Finding the Third Proportional to 97,082 and 137,523

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Solution

The third proportional to 97,082 and 137,523 is: 194,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 137,523 = 137,523 : x
  2. Step 2: Convert to fraction form
    97,082/137,523 = 137,523/x
  3. Step 3: Cross multiply
    97,082x = 137,523 × 137,523
  4. Step 4: Simplify right side
    97,082x = 18,912,575,529
  5. Step 5: Solve for x
    x = 18,912,575,529/97,082
  6. Step 6: Final answer
    x = 194,810.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.