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Finding the Third Proportional to 65,283 and 99,288

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Solution

The third proportional to 65,283 and 99,288 is: 151,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,283 : 99,288 = 99,288 : x
  2. Step 2: Convert to fraction form
    65,283/99,288 = 99,288/x
  3. Step 3: Cross multiply
    65,283x = 99,288 × 99,288
  4. Step 4: Simplify right side
    65,283x = 9,858,106,944
  5. Step 5: Solve for x
    x = 9,858,106,944/65,283
  6. Step 6: Final answer
    x = 151,005.73

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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.