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Finding the Third Proportional to 66,354 and 100,584

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Solution

The third proportional to 66,354 and 100,584 is: 152,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354 : 100,584 = 100,584 : x
  2. Step 2: Convert to fraction form
    66,354/100,584 = 100,584/x
  3. Step 3: Cross multiply
    66,354x = 100,584 × 100,584
  4. Step 4: Simplify right side
    66,354x = 10,117,141,056
  5. Step 5: Solve for x
    x = 10,117,141,056/66,354
  6. Step 6: Final answer
    x = 152,472.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.