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Finding the Third Proportional to 65,428 and 133,622

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Solution

The third proportional to 65,428 and 133,622 is: 272,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428 : 133,622 = 133,622 : x
  2. Step 2: Convert to fraction form
    65,428/133,622 = 133,622/x
  3. Step 3: Cross multiply
    65,428x = 133,622 × 133,622
  4. Step 4: Simplify right side
    65,428x = 17,854,838,884
  5. Step 5: Solve for x
    x = 17,854,838,884/65,428
  6. Step 6: Final answer
    x = 272,892.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.