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Finding the Third Proportional to 66,553 and 100,523

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Solution

The third proportional to 66,553 and 100,523 is: 151,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,553 : 100,523 = 100,523 : x
  2. Step 2: Convert to fraction form
    66,553/100,523 = 100,523/x
  3. Step 3: Cross multiply
    66,553x = 100,523 × 100,523
  4. Step 4: Simplify right side
    66,553x = 10,104,873,529
  5. Step 5: Solve for x
    x = 10,104,873,529/66,553
  6. Step 6: Final answer
    x = 151,831.98

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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.