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Finding the Third Proportional to 66,553 and 100,522

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Solution

The third proportional to 66,553 and 100,522 is: 151,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,553 : 100,522 = 100,522 : x
  2. Step 2: Convert to fraction form
    66,553/100,522 = 100,522/x
  3. Step 3: Cross multiply
    66,553x = 100,522 × 100,522
  4. Step 4: Simplify right side
    66,553x = 10,104,672,484
  5. Step 5: Solve for x
    x = 10,104,672,484/66,553
  6. Step 6: Final answer
    x = 151,828.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.