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Finding the Third Proportional to 65,790 and 100,329

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Solution

The third proportional to 65,790 and 100,329 is: 153,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,790 : 100,329 = 100,329 : x
  2. Step 2: Convert to fraction form
    65,790/100,329 = 100,329/x
  3. Step 3: Cross multiply
    65,790x = 100,329 × 100,329
  4. Step 4: Simplify right side
    65,790x = 10,065,908,241
  5. Step 5: Solve for x
    x = 10,065,908,241/65,790
  6. Step 6: Final answer
    x = 153,000.58

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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.