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Finding the Third Proportional to 52,369 and 97,082

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Solution

The third proportional to 52,369 and 97,082 is: 179,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,369 : 97,082 = 97,082 : x
  2. Step 2: Convert to fraction form
    52,369/97,082 = 97,082/x
  3. Step 3: Cross multiply
    52,369x = 97,082 × 97,082
  4. Step 4: Simplify right side
    52,369x = 9,424,914,724
  5. Step 5: Solve for x
    x = 9,424,914,724/52,369
  6. Step 6: Final answer
    x = 179,971.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.