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Finding the Third Proportional to 65,433 and 100,716

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Solution

The third proportional to 65,433 and 100,716 is: 155,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433 : 100,716 = 100,716 : x
  2. Step 2: Convert to fraction form
    65,433/100,716 = 100,716/x
  3. Step 3: Cross multiply
    65,433x = 100,716 × 100,716
  4. Step 4: Simplify right side
    65,433x = 10,143,712,656
  5. Step 5: Solve for x
    x = 10,143,712,656/65,433
  6. Step 6: Final answer
    x = 155,024.42

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