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Finding the Third Proportional to 63,674 and 130,534

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Solution

The third proportional to 63,674 and 130,534 is: 267,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,674 : 130,534 = 130,534 : x
  2. Step 2: Convert to fraction form
    63,674/130,534 = 130,534/x
  3. Step 3: Cross multiply
    63,674x = 130,534 × 130,534
  4. Step 4: Simplify right side
    63,674x = 17,039,125,156
  5. Step 5: Solve for x
    x = 17,039,125,156/63,674
  6. Step 6: Final answer
    x = 267,599.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.