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Finding the Third Proportional to 136,237 and 202,411

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Solution

The third proportional to 136,237 and 202,411 is: 300,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,237 : 202,411 = 202,411 : x
  2. Step 2: Convert to fraction form
    136,237/202,411 = 202,411/x
  3. Step 3: Cross multiply
    136,237x = 202,411 × 202,411
  4. Step 4: Simplify right side
    136,237x = 40,970,212,921
  5. Step 5: Solve for x
    x = 40,970,212,921/136,237
  6. Step 6: Final answer
    x = 300,727.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.