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Finding the Third Proportional to 64,966 and 100,329

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Solution

The third proportional to 64,966 and 100,329 is: 154,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966 : 100,329 = 100,329 : x
  2. Step 2: Convert to fraction form
    64,966/100,329 = 100,329/x
  3. Step 3: Cross multiply
    64,966x = 100,329 × 100,329
  4. Step 4: Simplify right side
    64,966x = 10,065,908,241
  5. Step 5: Solve for x
    x = 10,065,908,241/64,966
  6. Step 6: Final answer
    x = 154,941.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.