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Finding the Third Proportional to 137,172 and 202,068

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Solution

The third proportional to 137,172 and 202,068 is: 297,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172 : 202,068 = 202,068 : x
  2. Step 2: Convert to fraction form
    137,172/202,068 = 202,068/x
  3. Step 3: Cross multiply
    137,172x = 202,068 × 202,068
  4. Step 4: Simplify right side
    137,172x = 40,831,476,624
  5. Step 5: Solve for x
    x = 40,831,476,624/137,172
  6. Step 6: Final answer
    x = 297,666.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.