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Finding the Third Proportional to 97,940 and 212,472

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Solution

The third proportional to 97,940 and 212,472 is: 460,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,940 : 212,472 = 212,472 : x
  2. Step 2: Convert to fraction form
    97,940/212,472 = 212,472/x
  3. Step 3: Cross multiply
    97,940x = 212,472 × 212,472
  4. Step 4: Simplify right side
    97,940x = 45,144,350,784
  5. Step 5: Solve for x
    x = 45,144,350,784/97,940
  6. Step 6: Final answer
    x = 460,938.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.