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Finding the Third Proportional to 65,433 and 101,032

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Solution

The third proportional to 65,433 and 101,032 is: 155,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433 : 101,032 = 101,032 : x
  2. Step 2: Convert to fraction form
    65,433/101,032 = 101,032/x
  3. Step 3: Cross multiply
    65,433x = 101,032 × 101,032
  4. Step 4: Simplify right side
    65,433x = 10,207,465,024
  5. Step 5: Solve for x
    x = 10,207,465,024/65,433
  6. Step 6: Final answer
    x = 155,998.73

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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.