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Finding the Third Proportional to 95,802 and 147,051

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Solution

The third proportional to 95,802 and 147,051 is: 225,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,802 : 147,051 = 147,051 : x
  2. Step 2: Convert to fraction form
    95,802/147,051 = 147,051/x
  3. Step 3: Cross multiply
    95,802x = 147,051 × 147,051
  4. Step 4: Simplify right side
    95,802x = 21,623,996,601
  5. Step 5: Solve for x
    x = 21,623,996,601/95,802
  6. Step 6: Final answer
    x = 225,715.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.