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Finding the Third Proportional to 131,036 and 201,426

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Solution

The third proportional to 131,036 and 201,426 is: 309,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036 : 201,426 = 201,426 : x
  2. Step 2: Convert to fraction form
    131,036/201,426 = 201,426/x
  3. Step 3: Cross multiply
    131,036x = 201,426 × 201,426
  4. Step 4: Simplify right side
    131,036x = 40,572,433,476
  5. Step 5: Solve for x
    x = 40,572,433,476/131,036
  6. Step 6: Final answer
    x = 309,628.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.