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Finding the Third Proportional to 102,899.81 and 146,265.75

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Solution

The third proportional to 102,899.81 and 146,265.75 is: 207,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,899.81 : 146,265.75 = 146,265.75 : x
  2. Step 2: Convert to fraction form
    102,899.81/146,265.75 = 146,265.75/x
  3. Step 3: Cross multiply
    102,899.81x = 146,265.75 × 146,265.75
  4. Step 4: Simplify right side
    102,899.81x = 21,393,669,623.06
  5. Step 5: Solve for x
    x = 21,393,669,623.06/102,899.81
  6. Step 6: Final answer
    x = 207,907.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.