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Finding the Third Proportional to 134,600 and 201,900

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Solution

The third proportional to 134,600 and 201,900 is: 302,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,600 : 201,900 = 201,900 : x
  2. Step 2: Convert to fraction form
    134,600/201,900 = 201,900/x
  3. Step 3: Cross multiply
    134,600x = 201,900 × 201,900
  4. Step 4: Simplify right side
    134,600x = 40,763,610,000
  5. Step 5: Solve for x
    x = 40,763,610,000/134,600
  6. Step 6: Final answer
    x = 302,850

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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.