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Finding the Third Proportional to 65,972 and 155,581

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Solution

The third proportional to 65,972 and 155,581 is: 366,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,972 : 155,581 = 155,581 : x
  2. Step 2: Convert to fraction form
    65,972/155,581 = 155,581/x
  3. Step 3: Cross multiply
    65,972x = 155,581 × 155,581
  4. Step 4: Simplify right side
    65,972x = 24,205,447,561
  5. Step 5: Solve for x
    x = 24,205,447,561/65,972
  6. Step 6: Final answer
    x = 366,904.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.