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Finding the Third Proportional to 135,522 and 201,322

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Solution

The third proportional to 135,522 and 201,322 is: 299,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,522 : 201,322 = 201,322 : x
  2. Step 2: Convert to fraction form
    135,522/201,322 = 201,322/x
  3. Step 3: Cross multiply
    135,522x = 201,322 × 201,322
  4. Step 4: Simplify right side
    135,522x = 40,530,547,684
  5. Step 5: Solve for x
    x = 40,530,547,684/135,522
  6. Step 6: Final answer
    x = 299,069.88

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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.