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Finding the Third Proportional to 134,714 and 202,071

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Solution

The third proportional to 134,714 and 202,071 is: 303,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,714 : 202,071 = 202,071 : x
  2. Step 2: Convert to fraction form
    134,714/202,071 = 202,071/x
  3. Step 3: Cross multiply
    134,714x = 202,071 × 202,071
  4. Step 4: Simplify right side
    134,714x = 40,832,689,041
  5. Step 5: Solve for x
    x = 40,832,689,041/134,714
  6. Step 6: Final answer
    x = 303,106.50

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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.