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Finding the Third Proportional to 134,156 and 212,254

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Solution

The third proportional to 134,156 and 212,254 is: 335,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,156 : 212,254 = 212,254 : x
  2. Step 2: Convert to fraction form
    134,156/212,254 = 212,254/x
  3. Step 3: Cross multiply
    134,156x = 212,254 × 212,254
  4. Step 4: Simplify right side
    134,156x = 45,051,760,516
  5. Step 5: Solve for x
    x = 45,051,760,516/134,156
  6. Step 6: Final answer
    x = 335,816.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.