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Finding the Third Proportional to 134,901 and 202,699

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Solution

The third proportional to 134,901 and 202,699 is: 304,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,901 : 202,699 = 202,699 : x
  2. Step 2: Convert to fraction form
    134,901/202,699 = 202,699/x
  3. Step 3: Cross multiply
    134,901x = 202,699 × 202,699
  4. Step 4: Simplify right side
    134,901x = 41,086,884,601
  5. Step 5: Solve for x
    x = 41,086,884,601/134,901
  6. Step 6: Final answer
    x = 304,570.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.